101221102010120 has 64 divisors (see below), whose sum is σ = 230634911347200. Its totient is φ = 39975139825920.

The previous prime is 101221102010069. The next prime is 101221102010221. The reversal of 101221102010120 is 21010201122101.

It is a super-2 number, since 2×101221102010120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101221102010095 and 101221102010104.

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, 175221197 + ... + 175797923.

It is an arithmetic number, because the mean of its divisors is an integer number (3603670489800).

Almost surely, 2^{101221102010120} is an apocalyptic number.

101221102010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221102010120 is an abundant number, since it is smaller than the sum of its proper divisors (129413809337080).

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

101221102010120 is a wasteful number, since it uses less digits than its factorization.

101221102010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632358 (or 632354 counting only the distinct ones).

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

Adding to 101221102010120 its reverse (21010201122101), we get a palindrome (122231303132221).

The spelling of 101221102010120 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred two million, ten thousand, one hundred twenty".