100120200200 has 24 divisors (see below), whose sum is σ = 232779465930. Its totient is φ = 40048080000.

The previous prime is 100120200181. The next prime is 100120200221. The reversal of 100120200200 is 2002021001.

It can be written as a sum of positive squares in 3 ways, for example, as 78150438916 + 21969761284 = 279554^2 + 148222^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250300301 + ... + 250300700.

Almost surely, 2^100120200200 is an apocalyptic number.

100120200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120200200 is an abundant number, since it is smaller than the sum of its proper divisors (132659265730).

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

100120200200 is a wasteful number, since it uses less digits than its factorization.

100120200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500601017 (or 500601008 counting only the distinct ones).

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

Adding to 100120200200 its reverse (2002021001), we get a palindrome (102122221201).

The spelling of 100120200200 in words is "one hundred billion, one hundred twenty million, two hundred thousand, two hundred".