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210020102122100 = 225217933135447029
BaseRepresentation
bin101111110000001100011101…
…100101010010101001110100
31000112121201121000112220211112
4233300030131211102221310
5210011432132120401400
62022401523012454152
762144310626130104
oct5760143545225164
91015551530486745
10210020102122100
1160a12030487216
121b67b37731a358
139025a6ccc96ba
1439c105481d204
151943188bc1835
hexbf031d952a74

210020102122100 has 72 divisors (see below), whose sum is σ = 459674249277600. Its totient is φ = 83286336988800.

The previous prime is 210020102122021. The next prime is 210020102122121. The reversal of 210020102122100 is 1221201020012.

210020102122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11798615 + ... + 23648414.

It is an arithmetic number, because the mean of its divisors is an integer number (6384364573300).

Almost surely, 2210020102122100 is an apocalyptic number.

210020102122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210020102122100 is an abundant number, since it is smaller than the sum of its proper divisors (249654147155500).

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

210020102122100 is a wasteful number, since it uses less digits than its factorization.

210020102122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35447553 (or 35447546 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210020102122100 its reverse (1221201020012), we get a palindrome (211241303142112).

The spelling of 210020102122100 in words is "two hundred ten trillion, twenty billion, one hundred two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 331 358 662 716 895 1324 1655 1790 3310 3580 4475 6620 8275 8950 16550 17900 33100 59249 118498 236996 296245 592490 1184980 1481225 2962450 5924900 35447029 70894058 141788116 177235145 354470290 708940580 886175725 1772351450 3544702900 6345018191 11732966599 12690036382 23465933198 25380072764 31725090955 46931866396 58664832995 63450181910 117329665990 126900363820 158625454775 234659331980 293324164975 317250909550 586648329950 634501819100 1173296659900 2100201021221 4200402042442 8400804084884 10501005106105 21002010212210 42004020424420 52505025530525 105010051061050 210020102122100