101021112120100 has 36 divisors (see below), whose sum is σ = 230753487689200. Its totient is φ = 38281684592160.

The previous prime is 101021112120037. The next prime is 101021112120101. The reversal of 101021112120100 is 1021211120101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101021112120101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26584501290 + ... + 26584505089.

Almost surely, 2^{101021112120100} is an apocalyptic number.

101021112120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021112120100 is an abundant number, since it is smaller than the sum of its proper divisors (129732375569100).

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

101021112120100 is a wasteful number, since it uses less digits than its factorization.

101021112120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53169006412 (or 53169006405 counting only the distinct ones).

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

Adding to 101021112120100 its reverse (1021211120101), we get a palindrome (102042323240201).

Subtracting from 101021112120100 its reverse (1021211120101), we obtain a palindrome (99999900999999).

The spelling of 101021112120100 in words is "one hundred one trillion, twenty-one billion, one hundred twelve million, one hundred twenty thousand, one hundred".