100201120 has 48 divisors (see below), whose sum is σ = 237337128. Its totient is φ = 39976960.

The previous prime is 100201109. The next prime is 100201139. The reversal of 100201120 is 21102001.

It can be written as a sum of positive squares in 4 ways, for example, as 100080016 + 121104 = 10004^2 + 348^2 .

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, 102072 + ... + 103048.

Almost surely, 2^100201120 is an apocalyptic number.

100201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201120 is an abundant number, since it is smaller than the sum of its proper divisors (137136008).

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

100201120 is an equidigital number, since it uses as much as digits as its factorization.

100201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 100201120 is about 10010.0509489213. The cubic root of 100201120 is about 464.4698470997.

Adding to 100201120 its reverse (21102001), we get a palindrome (121303121).

The spelling of 100201120 in words is "one hundred million, two hundred one thousand, one hundred twenty".