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210101120100 = 2232521032266463
BaseRepresentation
bin1100001110101100000…
…0001010110001100100
3202002022022022202022200
43003223000022301210
511420241341320400
6240304044054500
721115334024514
oct3035300126144
9662268282280
10210101120100
1181115672243
1234876534430
1316a73c52c11
14a251847844
1556ea158b00
hex30eb00ac64

210101120100 has 108 divisors (see below), whose sum is σ = 664944274176. Its totient is φ = 55482989760.

The previous prime is 210101120093. The next prime is 210101120111. The reversal of 210101120100 is 1021101012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1040532 + ... + 1225931.

Almost surely, 2210101120100 is an apocalyptic number.

210101120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210101120100 is an abundant number, since it is smaller than the sum of its proper divisors (454843154076).

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

210101120100 is a wasteful number, since it uses less digits than its factorization.

210101120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266586 (or 2266576 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210101120100 its reverse (1021101012), we get a palindrome (211122221112).

The spelling of 210101120100 in words is "two hundred ten billion, one hundred one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 103 150 180 206 225 300 309 412 450 515 618 900 927 1030 1236 1545 1854 2060 2575 3090 3708 4635 5150 6180 7725 9270 10300 15450 18540 23175 30900 46350 92700 2266463 4532926 6799389 9065852 11332315 13598778 20398167 22664630 27197556 33996945 40796334 45329260 56661575 67993890 81592668 101990835 113323150 135987780 169984725 203981670 226646300 233445689 339969450 407963340 466891378 509954175 679938900 700337067 933782756 1019908350 1167228445 1400674134 2039816700 2101011201 2334456890 2801348268 3501685335 4202022402 4668913780 5836142225 7003370670 8404044804 10505056005 11672284450 14006741340 17508426675 21010112010 23344568900 35016853350 42020224020 52525280025 70033706700 105050560050 210101120100