101210112100100 has 36 divisors (see below), whose sum is σ = 219639876148224. Its totient is φ = 40481476565280.

The previous prime is 101210112100057. The next prime is 101210112100129. The reversal of 101210112100100 is 1001211012101.

It is a super-3 number, since 3×101210112100100³ (a number of 43 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 30518852 + ... + 33672251.

It is an arithmetic number, because the mean of its divisors is an integer number (6101107670784).

Almost surely, 2^{101210112100100} is an apocalyptic number.

101210112100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210112100100 is an abundant number, since it is smaller than the sum of its proper divisors (118429764048124).

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

101210112100100 is a wasteful number, since it uses less digits than its factorization.

101210112100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64206884 (or 64206877 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101210112100100 its reverse (1001211012101), we get a palindrome (102211323112201).

The spelling of 101210112100100 in words is "one hundred one trillion, two hundred ten billion, one hundred twelve million, one hundred thousand, one hundred".