120010010010100 has 72 divisors (see below), whose sum is σ = 303957267989760. Its totient is φ = 40270836174720.

The previous prime is 120010010010089. The next prime is 120010010010131. The reversal of 120010010010100 is 1010010010021.

120010010010100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1823827435 + ... + 1823893234.

It is an arithmetic number, because the mean of its divisors is an integer number (4221628722080).

Almost surely, 2^{120010010010100} is an apocalyptic number.

120010010010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120010010010100 is an abundant number, since it is smaller than the sum of its proper divisors (183947257979660).

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

120010010010100 is a wasteful number, since it uses less digits than its factorization.

120010010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647720737 (or 3647720730 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 120010010010100 its reverse (1010010010021), we get a palindrome (121020020020121).

The spelling of 120010010010100 in words is "one hundred twenty trillion, ten billion, ten million, ten thousand, one hundred".