120102112101120 has 144 divisors (see below), whose sum is σ = 393943043165280. Its totient is φ = 31161629048832.

The previous prime is 120102112100959. The next prime is 120102112101133. The reversal of 120102112101120 is 21101211201021.

It is a happy number.

It is a super-2 number, since 2×120102112101120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120102112101120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422514565 + ... + 422798724.

Almost surely, 2^{120102112101120} is an apocalyptic number.

120102112101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102112101120 is an abundant number, since it is smaller than the sum of its proper divisors (273840931064160).

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

120102112101120 is an equidigital number, since it uses as much as digits as its factorization.

120102112101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845313350 (or 845313336 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120102112101120 its reverse (21101211201021), we get a palindrome (141203323302141).

Subtracting from 120102112101120 its reverse (21101211201021), we obtain a palindrome (99000900900099).

The spelling of 120102112101120 in words is "one hundred twenty trillion, one hundred two billion, one hundred twelve million, one hundred one thousand, one hundred twenty".