101220122120 has 64 divisors (see below), whose sum is σ = 245331313920. Its totient is φ = 37363348224.

The previous prime is 101220122119. The next prime is 101220122141. The reversal of 101220122120 is 21221022101.

101220122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101220122095 and 101220122104.

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, 2025677 + ... + 2075043.

It is an arithmetic number, because the mean of its divisors is an integer number (3833301780).

Almost surely, 2^101220122120 is an apocalyptic number.

101220122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220122120 is an abundant number, since it is smaller than the sum of its proper divisors (144111191800).

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

101220122120 is a wasteful number, since it uses less digits than its factorization.

101220122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53334 (or 53330 counting only the distinct ones).

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

Adding to 101220122120 its reverse (21221022101), we get a palindrome (122441144221).

The spelling of 101220122120 in words is "one hundred one billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty".