22101022112022 has 384 divisors, whose sum is σ = 57843148087296. Its totient is φ = 5966369280000.

The previous prime is 22101022111963. The next prime is 22101022112023. The reversal of 22101022112022 is 22021122010122.

It is a happy number.

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 = 22101022111986 and 22101022112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101022112023) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31984112697 + ... + 31984113387.

It is an arithmetic number, because the mean of its divisors is an integer number (150633198144).

Almost surely, 2^{22101022112022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101022112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28921574043648).

22101022112022 is an abundant number, since it is smaller than the sum of its proper divisors (35742125975274).

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

22101022112022 is a wasteful number, since it uses less digits than its factorization.

22101022112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1593 counting only the distinct ones).

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

Adding to 22101022112022 its reverse (22021122010122), we get a palindrome (44122144122144).

The spelling of 22101022112022 in words is "twenty-two trillion, one hundred one billion, twenty-two million, one hundred twelve thousand, twenty-two".