10102314771680 has 24 divisors (see below), whose sum is σ = 23866718648472. Its totient is φ = 4040925908608.

The previous prime is 10102314771623. The next prime is 10102314771691. The reversal of 10102314771680 is 8617741320101.

It is a super-2 number, since 2×10102314771680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31569733502 + ... + 31569733821.

It is an arithmetic number, because the mean of its divisors is an integer number (994446610353).

Almost surely, 2^{10102314771680} is an apocalyptic number.

10102314771680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102314771680 is an abundant number, since it is smaller than the sum of its proper divisors (13764403876792).

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

10102314771680 is an equidigital number, since it uses as much as digits as its factorization.

10102314771680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63139467338 (or 63139467330 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 10102314771680 in words is "ten trillion, one hundred two billion, three hundred fourteen million, seven hundred seventy-one thousand, six hundred eighty".