101022220102120 has 32 divisors (see below), whose sum is σ = 231152537527200. Its totient is φ = 39723991632448.

The previous prime is 101022220102087. The next prime is 101022220102159. The reversal of 101022220102120 is 21201022220101.

It is a happy number.

It is a super-2 number, since 2×101022220102120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101022220102094 and 101022220102103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21403010374 + ... + 21403015093.

It is an arithmetic number, because the mean of its divisors is an integer number (7223516797725).

Almost surely, 2^{101022220102120} is an apocalyptic number.

101022220102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022220102120 is an abundant number, since it is smaller than the sum of its proper divisors (130130317425080).

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

101022220102120 is a wasteful number, since it uses less digits than its factorization.

101022220102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42806025537 (or 42806025533 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101022220102120 its reverse (21201022220101), we get a palindrome (122223242322221).

The spelling of 101022220102120 in words is "one hundred one trillion, twenty-two billion, two hundred twenty million, one hundred two thousand, one hundred twenty".