101210112112100 has 72 divisors (see below), whose sum is σ = 231403101753600. Its totient is φ = 38317156617600.

The previous prime is 101210112112097. The next prime is 101210112112111. The reversal of 101210112112100 is 1211211012101.

It is a super-3 number, since 3×101210112112100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 23087060 + ... + 27118859.

It is an arithmetic number, because the mean of its divisors is an integer number (3213931968800).

Almost surely, 2^{101210112112100} is an apocalyptic number.

101210112112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210112112100 is an abundant number, since it is smaller than the sum of its proper divisors (130192989641500).

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

101210112112100 is a wasteful number, since it uses less digits than its factorization.

101210112112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50207013 (or 50207006 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101210112112100 its reverse (1211211012101), we get a palindrome (102421323124201).

The spelling of 101210112112100 in words is "one hundred one trillion, two hundred ten billion, one hundred twelve million, one hundred twelve thousand, one hundred".