120101112002120 has 32 divisors (see below), whose sum is σ = 270361477150200. Its totient is φ = 48016626997248.

The previous prime is 120101112002111. The next prime is 120101112002149. The reversal of 120101112002120 is 21200211101021.

It can be written as a sum of positive squares in 4 ways, for example, as 117016964883844 + 3084147118276 = 10817438^2 + 1756174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120101112002095 and 120101112002104.

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 7 ways as a sum of consecutive naturals, for example, 744224675 + ... + 744386034.

Almost surely, 2^{120101112002120} is an apocalyptic number.

120101112002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120101112002120 is an abundant number, since it is smaller than the sum of its proper divisors (150260365148080).

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

120101112002120 is a wasteful number, since it uses less digits than its factorization.

120101112002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488612737 (or 1488612733 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120101112002120 its reverse (21200211101021), we get a palindrome (141301323103141).

The spelling of 120101112002120 in words is "one hundred twenty trillion, one hundred one billion, one hundred twelve million, two thousand, one hundred twenty".