101210112012100 has 576 divisors, whose sum is σ = 283422891773952. Its totient is φ = 30491138304000.

The previous prime is 101210112012073. The next prime is 101210112012151. The reversal of 101210112012100 is 1210211012101.

It is a happy number.

101210112012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101210112012100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64424004315 + ... + 64424005885.

It is an arithmetic number, because the mean of its divisors is an integer number (492053631552).

Almost surely, 2^{101210112012100} is an apocalyptic number.

101210112012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210112012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141711445886976).

101210112012100 is an abundant number, since it is smaller than the sum of its proper divisors (182212779761852).

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

101210112012100 is a wasteful number, since it uses less digits than its factorization.

101210112012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101210112012100 its reverse (1210211012101), we get a palindrome (102420323024201).

Subtracting from 101210112012100 its reverse (1210211012101), we obtain a palindrome (99999900999999).

The spelling of 101210112012100 in words is "one hundred one trillion, two hundred ten billion, one hundred twelve million, twelve thousand, one hundred".