120110101011021 has 96 divisors (see below), whose sum is σ = 191035508944896. Its totient is φ = 66894837609600.

The previous prime is 120110101010989. The next prime is 120110101011023.

120110101011021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120110101011021 - 2⁵ = 120110101010989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120110101010988 and 120110101011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120110101011023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19157116 + ... + 24641738.

It is an arithmetic number, because the mean of its divisors is an integer number (1989953218176).

Almost surely, 2^{120110101011021} is an apocalyptic number.

120110101011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120110101011021 is a deficient number, since it is larger than the sum of its proper divisors (70925407933875).

120110101011021 is a wasteful number, since it uses less digits than its factorization.

120110101011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484775 (or 5484764 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 12011010 and 1011021, that added together give a palindrome (13022031).

The spelling of 120110101011021 in words is "one hundred twenty trillion, one hundred ten billion, one hundred one million, eleven thousand, twenty-one".