101111122021100 has 36 divisors (see below), whose sum is σ = 219415128147600. Its totient is φ = 40443712704960.

The previous prime is 101111122021031. The next prime is 101111122021111. The reversal of 101111122021100 is 1120221111101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3662840 + ... + 14684639.

Almost surely, 2^{101111122021100} is an apocalyptic number.

101111122021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111122021100 is an abundant number, since it is smaller than the sum of its proper divisors (118304006126500).

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

101111122021100 is a wasteful number, since it uses less digits than its factorization.

101111122021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18402602 (or 18402595 counting only the distinct ones).

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

Adding to 101111122021100 its reverse (1120221111101), we get a palindrome (102231343132201).

Subtracting from 101111122021100 its reverse (1120221111101), we obtain a palindrome (99990900909999).

It can be divided in two parts, 1011 and 11122021100, that added together give a palindrome (11122022111).

The spelling of 101111122021100 in words is "one hundred one trillion, one hundred eleven billion, one hundred twenty-two million, twenty-one thousand, one hundred".