102129399252 has 18 divisors (see below), whose sum is σ = 258160425978. Its totient is φ = 34043133072.

The previous prime is 102129399233. The next prime is 102129399283. The reversal of 102129399252 is 252993921201.

102129399252 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 9 + 399 + 252 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97872619716 + 4256779536 = 312846^2 + 65244^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-5 number, since 5×102129399252⁵ (a number of 56 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102129399198 and 102129399207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1418463843 + ... + 1418463914.

Almost surely, 2^102129399252 is an apocalyptic number.

102129399252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102129399252 is an abundant number, since it is smaller than the sum of its proper divisors (156031026726).

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

102129399252 is a wasteful number, since it uses less digits than its factorization.

102129399252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836927767 (or 2836927762 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 102129399252 in words is "one hundred two billion, one hundred twenty-nine million, three hundred ninety-nine thousand, two hundred fifty-two".