101263958920 has 64 divisors (see below), whose sum is σ = 236989463040. Its totient is φ = 38899660800.

The previous prime is 101263958911. The next prime is 101263958941. The reversal of 101263958920 is 29859362101.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149257 + ... + 474136.

It is an arithmetic number, because the mean of its divisors is an integer number (3702960360).

Almost surely, 2^101263958920 is an apocalyptic number.

101263958920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101263958920 is an abundant number, since it is smaller than the sum of its proper divisors (135725504120).

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

101263958920 is a wasteful number, since it uses less digits than its factorization.

101263958920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623566 (or 623562 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 101263958920 in words is "one hundred one billion, two hundred sixty-three million, nine hundred fifty-eight thousand, nine hundred twenty".