100120120002120 has 32 divisors (see below), whose sum is σ = 300360360006720. Its totient is φ = 26698698667200.

The previous prime is 100120120002083. The next prime is 100120120002137. The reversal of 100120120002120 is 21200021021001.

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 = 100120120002096 and 100120120002105.

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, 417167166556 + ... + 417167166795.

It is an arithmetic number, because the mean of its divisors is an integer number (9386261250210).

Almost surely, 2^{100120120002120} is an apocalyptic number.

100120120002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120120002120 is an abundant number, since it is smaller than the sum of its proper divisors (200240240004600).

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

100120120002120 is a wasteful number, since it uses less digits than its factorization.

100120120002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834334333365 (or 834334333361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100120120002120 its reverse (21200021021001), we get a palindrome (121320141023121).

The spelling of 100120120002120 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty million, two thousand, one hundred twenty".