101122021112000 has 112 divisors (see below), whose sum is σ = 286204211911488. Its totient is φ = 34670407219200.

The previous prime is 101122021111999. The next prime is 101122021112017. The reversal of 101122021112000 is 211120221101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 902819189 + ... + 902931188.

Almost surely, 2^{101122021112000} is an apocalyptic number.

101122021112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122021112000 is an abundant number, since it is smaller than the sum of its proper divisors (185082190799488).

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

101122021112000 is an equidigital number, since it uses as much as digits as its factorization.

101122021112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805750411 (or 1805750391 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122021112000 its reverse (211120221101), we get a palindrome (101333141333101).

The spelling of 101122021112000 in words is "one hundred one trillion, one hundred twenty-two billion, twenty-one million, one hundred twelve thousand".