102012404412032 has 64 divisors (see below), whose sum is σ = 220998156692040. Its totient is φ = 46708382269440.

The previous prime is 102012404412029. The next prime is 102012404412067. The reversal of 102012404412032 is 230214404210201.

It can be written as a sum of positive squares in 4 ways, for example, as 87306897441856 + 14705506970176 = 9343816^2 + 3834776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×102012404412032³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102012404411992 and 102012404412010.

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, 633442469 + ... + 633603492.

Almost surely, 2^{102012404412032} is an apocalyptic number.

It is an amenable number.

102012404412032 is an abundant number, since it is smaller than the sum of its proper divisors (118985752280008).

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

102012404412032 is a wasteful number, since it uses less digits than its factorization.

102012404412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267046029 (or 1267046017 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 102012404412032 its reverse (230214404210201), we get a palindrome (332226808622233).

The spelling of 102012404412032 in words is "one hundred two trillion, twelve billion, four hundred four million, four hundred twelve thousand, thirty-two".