102000312010032 has 40 divisors (see below), whose sum is σ = 263528201002560. Its totient is φ = 33996569167680.

The previous prime is 102000312010013. The next prime is 102000312010081. The reversal of 102000312010032 is 230010213000201.

It is a junction number, because it is equal to n+sod(n) for n = 102000312009993 and 102000312010020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109997094 + ... + 110920517.

It is an arithmetic number, because the mean of its divisors is an integer number (6588205025064).

Almost surely, 2^{102000312010032} is an apocalyptic number.

102000312010032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102000312010032 is an abundant number, since it is smaller than the sum of its proper divisors (161527888992528).

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

102000312010032 is a wasteful number, since it uses less digits than its factorization.

102000312010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220927241 (or 220927235 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102000312010032 its reverse (230010213000201), we get a palindrome (332010525010233).

The spelling of 102000312010032 in words is "one hundred two trillion, three hundred twelve million, ten thousand, thirty-two".