101011912000 has 56 divisors (see below), whose sum is σ = 250156019880. Its totient is φ = 40404761600.

The previous prime is 101011911887. The next prime is 101011912007. The reversal of 101011912000 is 219110101.

It can be written as a sum of positive squares in 4 ways, for example, as 533055744 + 100478856256 = 23088^2 + 316984^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011912007) 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 7 ways as a sum of consecutive naturals, for example, 6305245 + ... + 6321244.

Almost surely, 2^101011912000 is an apocalyptic number.

101011912000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011912000 is an abundant number, since it is smaller than the sum of its proper divisors (149144107880).

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

101011912000 is an equidigital number, since it uses as much as digits as its factorization.

101011912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12626516 (or 12626496 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 101011912000 in words is "one hundred one billion, eleven million, nine hundred twelve thousand".