101211110112000 has 288 divisors, whose sum is σ = 384197376536064. Its totient is φ = 23133967872000.

The previous prime is 101211110111977. The next prime is 101211110112071. The reversal of 101211110112000 is 211011112101.

101211110112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 74633886 + ... + 75977885.

It is an arithmetic number, because the mean of its divisors is an integer number (1334018668528).

Almost surely, 2^{101211110112000} is an apocalyptic number.

101211110112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211110112000 is an abundant number, since it is smaller than the sum of its proper divisors (282986266424064).

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

101211110112000 is an equidigital number, since it uses as much as digits as its factorization.

101211110112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150611812 (or 150611788 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101211110112000 its reverse (211011112101), we get a palindrome (101422121224101).

The spelling of 101211110112000 in words is "one hundred one trillion, two hundred eleven billion, one hundred ten million, one hundred twelve thousand".