100200202120 has 32 divisors (see below), whose sum is σ = 225478272600. Its totient is φ = 40075135488.

The previous prime is 100200202111. The next prime is 100200202153. The reversal of 100200202120 is 21202002001.

It can be written as a sum of positive squares in 4 ways, for example, as 36673016004 + 63527186116 = 191502^2 + 252046^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100200202097 and 100200202106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182782 + ... + 483538.

Almost surely, 2^100200202120 is an apocalyptic number.

100200202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200202120 is an abundant number, since it is smaller than the sum of its proper divisors (125278070480).

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

100200202120 is a wasteful number, since it uses less digits than its factorization.

100200202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309097 (or 309093 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100200202120 its reverse (21202002001), we get a palindrome (121402204121).

The spelling of 100200202120 in words is "one hundred billion, two hundred million, two hundred two thousand, one hundred twenty".