101314926720 has 192 divisors, whose sum is σ = 399832280640. Its totient is φ = 23157688320.

The previous prime is 101314926703. The next prime is 101314926721. The reversal of 101314926720 is 27629413101.

101314926720 is a `hidden beast` number, since 10 + 131 + 492 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101314926721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1216066 + ... + 1296705.

It is an arithmetic number, because the mean of its divisors is an integer number (2082459795).

Almost surely, 2^101314926720 is an apocalyptic number.

101314926720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101314926720 is an abundant number, since it is smaller than the sum of its proper divisors (298517353920).

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

101314926720 is a wasteful number, since it uses less digits than its factorization.

101314926720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512803 (or 2512788 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 101314926720 in words is "one hundred one billion, three hundred fourteen million, nine hundred twenty-six thousand, seven hundred twenty".