22101113330010 has 768 divisors, whose sum is σ = 72324378427392. Its totient is φ = 4605471129600.

The previous prime is 22101113329961. The next prime is 22101113330161. The reversal of 22101113330010 is 1003331110122.

22101113330010 is a `hidden beast` number, since 2 + 210 + 1 + 113 + 330 + 0 + 10 = 666.

It is a super-2 number, since 2×22101113330010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2685102595 + ... + 2685110825.

It is an arithmetic number, because the mean of its divisors is an integer number (94172367744).

Almost surely, 2^{22101113330010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101113330010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36162189213696).

22101113330010 is an abundant number, since it is smaller than the sum of its proper divisors (50223265097382).

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

22101113330010 is a wasteful number, since it uses less digits than its factorization.

22101113330010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8531 (or 8528 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 22101113330010 its reverse (1003331110122), we get a palindrome (23104444440132).

The spelling of 22101113330010 in words is "twenty-two trillion, one hundred one billion, one hundred thirteen million, three hundred thirty thousand, ten".