22101013312 has 84 divisors (see below), whose sum is σ = 51065614404. Its totient is φ = 9462835200.

The previous prime is 22101013229. The next prime is 22101013321. The reversal of 22101013312 is 21331010122.

It can be written as a sum of positive squares in 2 ways, for example, as 590684416 + 21510328896 = 24304^2 + 146664^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4077228 + ... + 4082644.

It is an arithmetic number, because the mean of its divisors is an integer number (607923981).

Almost surely, 2^22101013312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25532807202).

22101013312 is an abundant number, since it is smaller than the sum of its proper divisors (28964601092).

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

22101013312 is a wasteful number, since it uses less digits than its factorization.

22101013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 22101013312 its reverse (21331010122), we get a palindrome (43432023434).

The spelling of 22101013312 in words is "twenty-two billion, one hundred one million, thirteen thousand, three hundred twelve".