101202112100 has 36 divisors (see below), whose sum is σ = 220358164404. Its totient is φ = 40342673280.

The previous prime is 101202112061. The next prime is 101202112133. The reversal of 101202112100 is 1211202101.

It can be written as a sum of positive squares in 6 ways, for example, as 4380321856 + 96821790244 = 66184^2 + 311162^2 .

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, 1697699 + ... + 1756298.

Almost surely, 2^101202112100 is an apocalyptic number.

101202112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202112100 is an abundant number, since it is smaller than the sum of its proper divisors (119156052304).

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

101202112100 is a wasteful number, since it uses less digits than its factorization.

101202112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454304 (or 3454297 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101202112100 its reverse (1211202101), we get a palindrome (102413314201).

Subtracting from 101202112100 its reverse (1211202101), we obtain a palindrome (99990909999).

The spelling of 101202112100 in words is "one hundred one billion, two hundred two million, one hundred twelve thousand, one hundred".