100102110120 has 112 divisors (see below), whose sum is σ = 337690241460. Its totient is φ = 26693888256.

The previous prime is 100102110113. The next prime is 100102110131. The reversal of 100102110120 is 21011201001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97520047524 + 2582062596 = 312282^2 + 50814^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1687269 + ... + 1745588.

Almost surely, 2^100102110120 is an apocalyptic number.

100102110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102110120 is an abundant number, since it is smaller than the sum of its proper divisors (237588131340).

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

100102110120 is an equidigital number, since it uses as much as digits as its factorization.

100102110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432886 (or 3432867 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100102110120 its reverse (21011201001), we get a palindrome (121113311121).

The spelling of 100102110120 in words is "one hundred billion, one hundred two million, one hundred ten thousand, one hundred twenty".