100020123120 has 80 divisors (see below), whose sum is σ = 310216707360. Its totient is φ = 26658757632.

The previous prime is 100020123097. The next prime is 100020123139. The reversal of 100020123120 is 21321020001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100020123096 and 100020123105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384262 + ... + 589658.

It is an arithmetic number, because the mean of its divisors is an integer number (3877708842).

Almost surely, 2^100020123120 is an apocalyptic number.

100020123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020123120 is an abundant number, since it is smaller than the sum of its proper divisors (210196584240).

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

100020123120 is a wasteful number, since it uses less digits than its factorization.

100020123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207442 (or 207436 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100020123120 its reverse (21321020001), we get a palindrome (121341143121).

The spelling of 100020123120 in words is "one hundred billion, twenty million, one hundred twenty-three thousand, one hundred twenty".