102209700631572 has 192 divisors, whose sum is σ = 275683510609920. Its totient is φ = 32730734534400.

The previous prime is 102209700631567. The next prime is 102209700631631. The reversal of 102209700631572 is 275136007902201.

It is a happy number.

102209700631572 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 9 + 7 + 0 + 0 + 631 + 5 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45360447 + ... + 47560377.

It is an arithmetic number, because the mean of its divisors is an integer number (1435851617760).

Almost surely, 2^{102209700631572} is an apocalyptic number.

102209700631572 is a gapful number since it is divisible by the number (12) 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 102209700631572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137841755304960).

102209700631572 is an abundant number, since it is smaller than the sum of its proper divisors (173473809978348).

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

102209700631572 is a wasteful number, since it uses less digits than its factorization.

102209700631572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200171 (or 2200163 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 102209700631572 in words is "one hundred two trillion, two hundred nine billion, seven hundred million, six hundred thirty-one thousand, five hundred seventy-two".