100120100 has 36 divisors (see below), whose sum is σ = 218243844. Its totient is φ = 39866880.

The previous prime is 100120091. The next prime is 100120159. The reversal of 100120100 is 1021001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7806436 + 92313664 = 2794^2 + 9608^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21152 + ... + 25448.

It is an arithmetic number, because the mean of its divisors is an integer number (6062329).

Almost surely, 2^100120100 is an apocalyptic number.

100120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120100 is an abundant number, since it is smaller than the sum of its proper divisors (118123744).

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

100120100 is a wasteful number, since it uses less digits than its factorization.

100120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 100120100 is about 10006.0031980806. The cubic root of 100120100 is about 464.3446272946.

Adding to 100120100 its reverse (1021001), we get a palindrome (101141101).

Subtracting from 100120100 its reverse (1021001), we obtain a palindrome (99099099).

The spelling of 100120100 in words is "one hundred million, one hundred twenty thousand, one hundred".