102012078015936 has 672 divisors, whose sum is σ = 325493979033600. Its totient is φ = 30288321423360.

The previous prime is 102012078015919. The next prime is 102012078015979. The reversal of 102012078015936 is 639510870210201.

102012078015936 is a `hidden beast` number, since 10 + 20 + 1 + 20 + 7 + 8 + 0 + 1 + 593 + 6 = 666.

It is a super-2 number, since 2×102012078015936² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102012078015891 and 102012078015900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61195006975 + ... + 61195008641.

Almost surely, 2^{102012078015936} is an apocalyptic number.

102012078015936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012078015936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162746989516800).

102012078015936 is an abundant number, since it is smaller than the sum of its proper divisors (223481901017664).

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

102012078015936 is a wasteful number, since it uses less digits than its factorization.

102012078015936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 102012078015936 in words is "one hundred two trillion, twelve billion, seventy-eight million, fifteen thousand, nine hundred thirty-six".