100112120200 has 24 divisors (see below), whose sum is σ = 232760679930. Its totient is φ = 40044848000.

The previous prime is 100112120191. The next prime is 100112120243. The reversal of 100112120200 is 2021211001.

It can be written as a sum of positive squares in 3 ways, for example, as 59079135844 + 41032984356 = 243062^2 + 202566^2 .

It is a super-2 number, since 2×100112120200² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250280101 + ... + 250280500.

Almost surely, 2^100112120200 is an apocalyptic number.

100112120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112120200 is an abundant number, since it is smaller than the sum of its proper divisors (132648559730).

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

100112120200 is a wasteful number, since it uses less digits than its factorization.

100112120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500560617 (or 500560608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100112120200 its reverse (2021211001), we get a palindrome (102133331201).

The spelling of 100112120200 in words is "one hundred billion, one hundred twelve million, one hundred twenty thousand, two hundred".