22101100211112 has 128 divisors (see below), whose sum is σ = 59621398824960. Its totient is φ = 6786815293440.

The previous prime is 22101100211093. The next prime is 22101100211131. The reversal of 22101100211112 is 21111200110122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22101100211093) and next prime (22101100211131).

It is a super-2 number, since 2×22101100211112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22101100211091 and 22101100211100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354738748 + ... + 354801044.

It is an arithmetic number, because the mean of its divisors is an integer number (465792178320).

Almost surely, 2^{22101100211112} 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 22101100211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29810699412480).

22101100211112 is an abundant number, since it is smaller than the sum of its proper divisors (37520298613848).

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

22101100211112 is a wasteful number, since it uses less digits than its factorization.

22101100211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64563 (or 64559 counting only the distinct ones).

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

Adding to 22101100211112 its reverse (21111200110122), we get a palindrome (43212300321234).

The spelling of 22101100211112 in words is "twenty-two trillion, one hundred one billion, one hundred million, two hundred eleven thousand, one hundred twelve".