100102002120 has 64 divisors (see below), whose sum is σ = 333673344000. Its totient is φ = 26693866944.

The previous prime is 100102002079. The next prime is 100102002137. The reversal of 100102002120 is 21200201001.

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

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 15 ways as a sum of consecutive naturals, for example, 46342440 + ... + 46344599.

It is an arithmetic number, because the mean of its divisors is an integer number (5213646000).

Almost surely, 2^100102002120 is an apocalyptic number.

100102002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102002120 is an abundant number, since it is smaller than the sum of its proper divisors (233571341880).

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

100102002120 is a wasteful number, since it uses less digits than its factorization.

100102002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92687059 (or 92687049 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100102002120 its reverse (21200201001), we get a palindrome (121302203121).

The spelling of 100102002120 in words is "one hundred billion, one hundred two million, two thousand, one hundred twenty".