22101111012112 has 80 divisors (see below), whose sum is σ = 46884680688384. Its totient is φ = 10009218384000.

The previous prime is 22101111012049. The next prime is 22101111012119. The reversal of 22101111012112 is 21121011110122.

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

It is not an unprimeable number, because it can be changed into a prime (22101111012119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136674187 + ... + 136835797.

Almost surely, 2^{22101111012112} is an apocalyptic number.

22101111012112 is a gapful number since it is divisible by the number (22) 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 22101111012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442340344192).

22101111012112 is an abundant number, since it is smaller than the sum of its proper divisors (24783569676272).

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

22101111012112 is a wasteful number, since it uses less digits than its factorization.

22101111012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164468 (or 164462 counting only the distinct ones).

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

Adding to 22101111012112 its reverse (21121011110122), we get a palindrome (43222122122234).

It can be divided in two parts, 2210111 and 1012112, that added together give a palindrome (3222223).

The spelling of 22101111012112 in words is "twenty-two trillion, one hundred one billion, one hundred eleven million, twelve thousand, one hundred twelve".