22101610122 has 96 divisors (see below), whose sum is σ = 51101668800. Its totient is φ = 6883709184.

The previous prime is 22101610079. The next prime is 22101610163.

22101610122 is a `hidden beast` number, since 22 + 10 + 1 + 610 + 1 + 22 = 666.

22101610122 is nontrivially palindromic in base 10.

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 = 22101610095 and 22101610104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17866488 + ... + 17867724.

It is an arithmetic number, because the mean of its divisors is an integer number (532309050).

Almost surely, 2^22101610122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101610122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25550834400).

22101610122 is an abundant number, since it is smaller than the sum of its proper divisors (29000058678).

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

22101610122 is a wasteful number, since it uses less digits than its factorization.

22101610122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1937 counting only the distinct ones).

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

The spelling of 22101610122 in words is "twenty-two billion, one hundred one million, six hundred ten thousand, one hundred twenty-two".