22101013120 has 64 divisors (see below), whose sum is σ = 53041213800. Its totient is φ = 8805941248.

The previous prime is 22101013097. The next prime is 22101013157. The reversal of 22101013120 is 2131010122.

It can be written as a sum of positive squares in 4 ways, for example, as 21764510784 + 336502336 = 147528^2 + 18344^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 22101013120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97296 + ... + 231664.

Almost surely, 2^22101013120 is an apocalyptic number.

22101013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26520606900).

22101013120 is an abundant number, since it is smaller than the sum of its proper divisors (30940200680).

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

22101013120 is a wasteful number, since it uses less digits than its factorization.

22101013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134645 (or 134633 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 22101013120 its reverse (2131010122), we get a palindrome (24232023242).

The spelling of 22101013120 in words is "twenty-two billion, one hundred one million, thirteen thousand, one hundred twenty".