101000202120 has 96 divisors (see below), whose sum is σ = 347559540120. Its totient is φ = 25349068800.

The previous prime is 101000202091. The next prime is 101000202133. The reversal of 101000202120 is 21202000101.

It can be written as a sum of positive squares in 4 ways, for example, as 100998111204 + 2090916 = 317802^2 + 1446^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 8245531 + ... + 8257770.

Almost surely, 2^101000202120 is an apocalyptic number.

101000202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000202120 is an abundant number, since it is smaller than the sum of its proper divisors (246559338000).

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

101000202120 is a wasteful number, since it uses less digits than its factorization.

101000202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16503335 (or 16503328 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101000202120 its reverse (21202000101), we get a palindrome (122202202221).

The spelling of 101000202120 in words is "one hundred one billion, two hundred two thousand, one hundred twenty".