101211012020100 has 72 divisors (see below), whose sum is σ = 300751713588928. Its totient is φ = 26260154467200.

The previous prime is 101211012020081. The next prime is 101211012020113. The reversal of 101211012020100 is 1020210112101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4559043496 + ... + 4559065695.

Almost surely, 2^{101211012020100} is an apocalyptic number.

101211012020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211012020100 is an abundant number, since it is smaller than the sum of its proper divisors (199540701568828).

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

101211012020100 is a wasteful number, since it uses less digits than its factorization.

101211012020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9118109245 (or 9118109238 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101211012020100 its reverse (1020210112101), we get a palindrome (102231222132201).

The spelling of 101211012020100 in words is "one hundred one trillion, two hundred eleven billion, twelve million, twenty thousand, one hundred".