120110133120021 has 144 divisors (see below), whose sum is σ = 193481174734848. Its totient is φ = 71203147329600.

The previous prime is 120110133120017. The next prime is 120110133120119. The reversal of 120110133120021 is 120021331011021.

120110133120021 is a `hidden beast` number, since 1 + 2 + 0 + 110 + 1 + 331 + 200 + 21 = 666.

It is not a de Polignac number, because 120110133120021 - 2² = 120110133120017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120110133119976 and 120110133120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120110133160021) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 76649733180 + ... + 76649734746.

It is an arithmetic number, because the mean of its divisors is an integer number (1343619268992).

Almost surely, 2^{120110133120021} is an apocalyptic number.

120110133120021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120110133120021 is a deficient number, since it is larger than the sum of its proper divisors (73371041614827).

120110133120021 is a wasteful number, since it uses less digits than its factorization.

120110133120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120110133120021 its reverse (120021331011021), we get a palindrome (240131464131042).

The spelling of 120110133120021 in words is "one hundred twenty trillion, one hundred ten billion, one hundred thirty-three million, one hundred twenty thousand, twenty-one".