100102012120 has 64 divisors (see below), whose sum is σ = 249070839840. Its totient is φ = 35902080000.

The previous prime is 100102012117. The next prime is 100102012123. The reversal of 100102012120 is 21210201001.

It is an interprime number because it is at equal distance from previous prime (100102012117) and next prime (100102012123).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100102012097 and 100102012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102012123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1526131 + ... + 1590370.

Almost surely, 2^100102012120 is an apocalyptic number.

100102012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102012120 is an abundant number, since it is smaller than the sum of its proper divisors (148968827720).

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

100102012120 is a wasteful number, since it uses less digits than its factorization.

100102012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116596 (or 3116592 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100102012120 its reverse (21210201001), we get a palindrome (121312213121).

The spelling of 100102012120 in words is "one hundred billion, one hundred two million, twelve thousand, one hundred twenty".