100100102120 has 32 divisors (see below), whose sum is σ = 227455191720. Its totient is φ = 39643603200.

The previous prime is 100100102101. The next prime is 100100102171. The reversal of 100100102120 is 21201001001.

It can be written as a sum of positive squares in 4 ways, for example, as 95927717284 + 4172384836 = 309722^2 + 64594^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100100102098 and 100100102107.

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, 12384587 + ... + 12392666.

Almost surely, 2^100100102120 is an apocalyptic number.

100100102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100102120 is an abundant number, since it is smaller than the sum of its proper divisors (127355089600).

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

100100102120 is a wasteful number, since it uses less digits than its factorization.

100100102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24777365 (or 24777361 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100100102120 its reverse (21201001001), we get a palindrome (121301103121).

The spelling of 100100102120 in words is "one hundred billion, one hundred million, one hundred two thousand, one hundred twenty".