101321311122 has 48 divisors (see below), whose sum is σ = 225758988000. Its totient is φ = 32828254272.

The previous prime is 101321311109. The next prime is 101321311127. The reversal of 101321311122 is 221113123101.

101321311122 is a `hidden beast` number, since 10 + 1 + 321 + 311 + 1 + 22 = 666.

It is a super-2 number, since 2×101321311122² (a number of 23 digits) contains 22 as substring.

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 = 101321311095 and 101321311104.

It is not an unprimeable number, because it can be changed into a prime (101321311127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441472 + ... + 630507.

It is an arithmetic number, because the mean of its divisors is an integer number (4703312250).

Almost surely, 2^101321311122 is an apocalyptic number.

101321311122 is an abundant number, since it is smaller than the sum of its proper divisors (124437676878).

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

101321311122 is a wasteful number, since it uses less digits than its factorization.

101321311122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072135 (or 1072132 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101321311122 its reverse (221113123101), we get a palindrome (322434434223).

The spelling of 101321311122 in words is "one hundred one billion, three hundred twenty-one million, three hundred eleven thousand, one hundred twenty-two".