102212078374080 has 336 divisors, whose sum is σ = 370094753433600. Its totient is φ = 25820305459200.

The previous prime is 102212078374069. The next prime is 102212078374181. The reversal of 102212078374080 is 80473870212201.

102212078374080 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 207 + 8 + 37 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976754401 + ... + 976859039.

Almost surely, 2^{102212078374080} is an apocalyptic number.

102212078374080 is a gapful number since it is divisible by the number (10) 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 102212078374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185047376716800).

102212078374080 is an abundant number, since it is smaller than the sum of its proper divisors (267882675059520).

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

102212078374080 is a wasteful number, since it uses less digits than its factorization.

102212078374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122532 (or 122519 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 102212078374080 in words is "one hundred two trillion, two hundred twelve billion, seventy-eight million, three hundred seventy-four thousand, eighty".