101221001320122 has 12 divisors (see below), whose sum is σ = 219312169526970. Its totient is φ = 33740333773368.

The previous prime is 101221001320037. The next prime is 101221001320123. The reversal of 101221001320122 is 221023100122101.

101221001320122 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 0 + 0 + 1 + 320 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96257467365921 + 4963533954201 = 9811089^2 + 2227899^2 .

It is a super-2 number, since 2×101221001320122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5623388962229 = 101221001320122 / (1 + 0 + 1 + 2 + 2 + 1 + 0 + 0 + 1 + 3 + 2 + 0 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 101221001320095 and 101221001320104.

It is not an unprimeable number, because it can be changed into a prime (101221001320123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2811694481097 + ... + 2811694481132.

Almost surely, 2^{101221001320122} is an apocalyptic number.

101221001320122 is an abundant number, since it is smaller than the sum of its proper divisors (118091168206848).

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

101221001320122 is a wasteful number, since it uses less digits than its factorization.

101221001320122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623388962237 (or 5623388962234 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101221001320122 its reverse (221023100122101), we get a palindrome (322244101442223).

The spelling of 101221001320122 in words is "one hundred one trillion, two hundred twenty-one billion, one million, three hundred twenty thousand, one hundred twenty-two".