101221020020120 has 128 divisors (see below), whose sum is σ = 305786578083840. Its totient is φ = 29122531223040.

The previous prime is 101221020020111. The next prime is 101221020020177. The reversal of 101221020020120 is 21020020122101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101221020020095 and 101221020020104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263958712 + ... + 1264038791.

It is an arithmetic number, because the mean of its divisors is an integer number (2388957641280).

Almost surely, 2^{101221020020120} is an apocalyptic number.

101221020020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221020020120 is an abundant number, since it is smaller than the sum of its proper divisors (204565558063720).

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

101221020020120 is a wasteful number, since it uses less digits than its factorization.

101221020020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527997545 (or 2527997541 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101221020020120 its reverse (21020020122101), we get a palindrome (122241040142221).

The spelling of 101221020020120 in words is "one hundred one trillion, two hundred twenty-one billion, twenty million, twenty thousand, one hundred twenty".