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210021012002100 = 2235213371991447661
BaseRepresentation
bin101111110000001101010011…
…110100001101010100110100
31000112121210221102122121112210
4233300031103310031110310
5210011441013033031400
62022402153154413420
762144342315025345
oct5760152364152464
91015553842577483
10210021012002100
1160a12458047562
121b67b58bb91270
139025b86672130
1439c10dd5cc0cc
1519431dda00950
hexbf0353d0d534

210021012002100 has 144 divisors (see below), whose sum is σ = 654421976812800. Its totient is φ = 51696054412800.

The previous prime is 210021012002041. The next prime is 210021012002171. The reversal of 210021012002100 is 1200210120012.

210021012002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144352270 + ... + 145799930.

It is an arithmetic number, because the mean of its divisors is an integer number (4544597061200).

Almost surely, 2210021012002100 is an apocalyptic number.

210021012002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021012002100 is an abundant number, since it is smaller than the sum of its proper divisors (444400964810700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210021012002100 is a wasteful number, since it uses less digits than its factorization.

210021012002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484890 (or 1484883 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210021012002100 its reverse (1200210120012), we get a palindrome (211221222122112).

The spelling of 210021012002100 in words is "two hundred ten trillion, twenty-one billion, twelve million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 37199 74398 111597 148796 185995 223194 371990 446388 483587 557985 743980 929975 967174 1115970 1447661 1450761 1859950 1934348 2231940 2417935 2789925 2895322 2901522 3719900 4342983 4835870 5579850 5790644 5803044 7238305 7253805 8685966 9671740 11159700 12089675 14476610 14507610 17371932 18819593 21714915 24179350 28953220 29015220 36191525 36269025 37639186 43429830 48358700 56458779 72383050 72538050 75278372 86859660 94097965 108574575 112917558 144766100 145076100 188195930 217149150 225835116 282293895 376391860 434298300 470489825 564587790 940979650 1129175580 1411469475 1881959300 2822938950 5645877900 53851541539 107703083078 161554624617 215406166156 269257707695 323109249234 538515415390 646218498468 700070040007 807773123085 1077030830780 1346288538475 1400140080014 1615546246170 2100210120021 2692577076950 2800280160028 3231092492340 3500350200035 4038865615425 4200420240042 5385154153900 7000700400070 8077731230850 8400840480084 10501050600105 14001400800140 16155462461700 17501751000175 21002101200210 35003502000350 42004202400420 52505253000525 70007004000700 105010506001050 210021012002100