101021012120120 has 64 divisors (see below), whose sum is σ = 228297508560000. Its totient is φ = 40230658843648.

The previous prime is 101021012120089. The next prime is 101021012120183. The reversal of 101021012120120 is 21021210120101.

It is a junction number, because it is equal to n+sod(n) for n = 101021012120095 and 101021012120104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43307954 + ... + 45580926.

It is an arithmetic number, because the mean of its divisors is an integer number (3567148571250).

Almost surely, 2^{101021012120120} is an apocalyptic number.

101021012120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021012120120 is an abundant number, since it is smaller than the sum of its proper divisors (127276496439880).

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

101021012120120 is a wasteful number, since it uses less digits than its factorization.

101021012120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277872 (or 2277868 counting only the distinct ones).

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

Adding to 101021012120120 its reverse (21021210120101), we get a palindrome (122042222240221).

It can be divided in two parts, 10102101 and 2120120, that added together give a palindrome (12222221).

The spelling of 101021012120120 in words is "one hundred one trillion, twenty-one billion, twelve million, one hundred twenty thousand, one hundred twenty".