101020022122122 has 48 divisors (see below), whose sum is σ = 219913678857600. Its totient is φ = 33513905924736.

The previous prime is 101020022122099. The next prime is 101020022122183. The reversal of 101020022122122 is 221221220020101.

It is a happy number.

101020022122122 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 200 + 221 + 221 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101020022122095 and 101020022122104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8262754 + ... + 16441202.

It is an arithmetic number, because the mean of its divisors is an integer number (4581534976200).

Almost surely, 2^{101020022122122} is an apocalyptic number.

101020022122122 is an abundant number, since it is smaller than the sum of its proper divisors (118893656735478).

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

101020022122122 is a wasteful number, since it uses less digits than its factorization.

101020022122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8181707 (or 8181704 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101020022122122 its reverse (221221220020101), we get a palindrome (322241242142223).

The spelling of 101020022122122 in words is "one hundred one trillion, twenty billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".