22111220121102 has 96 divisors (see below), whose sum is σ = 55371632322240. Its totient is φ = 6245960878080.

The previous prime is 22111220121101. The next prime is 22111220121127. The reversal of 22111220121102 is 20112102211122.

22111220121102 is a `hidden beast` number, since 221 + 1 + 1 + 220 + 121 + 102 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111220121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137638858 + ... + 137799410.

It is an arithmetic number, because the mean of its divisors is an integer number (576787836690).

Almost surely, 2^{22111220121102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22111220121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27685816161120).

22111220121102 is an abundant number, since it is smaller than the sum of its proper divisors (33260412201138).

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

22111220121102 is a wasteful number, since it uses less digits than its factorization.

22111220121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172938 (or 172935 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22111220121102 its reverse (20112102211122), we get a palindrome (42223322332224).

The spelling of 22111220121102 in words is "twenty-two trillion, one hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, one hundred two".