22101211101120 has 336 divisors, whose sum is σ = 73453626849120. Its totient is φ = 5626147258368.

The previous prime is 22101211101049. The next prime is 22101211101121. The reversal of 22101211101120 is 2110111210122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22101211101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101211101121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99664926 + ... + 99886434.

It is an arithmetic number, because the mean of its divisors is an integer number (218611984670).

Almost surely, 2^{22101211101120} is an apocalyptic number.

22101211101120 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 22101211101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36726813424560).

22101211101120 is an abundant number, since it is smaller than the sum of its proper divisors (51352415748000).

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

22101211101120 is a wasteful number, since it uses less digits than its factorization.

22101211101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221672 (or 221609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 22101211101120 its reverse (2110111210122), we get a palindrome (24211322311242).

The spelling of 22101211101120 in words is "twenty-two trillion, one hundred one billion, two hundred eleven million, one hundred one thousand, one hundred twenty".