22011110111100 has 576 divisors, whose sum is σ = 71232375836160. Its totient is φ = 5202739200000.

The previous prime is 22011110111071. The next prime is 22011110111101. The reversal of 22011110111100 is 111101111022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011110111101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13748350300 + ... + 13748351900.

It is an arithmetic number, because the mean of its divisors is an integer number (123667319160).

Almost surely, 2^{22011110111100} is an apocalyptic number.

22011110111100 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 22011110111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35616187918080).

22011110111100 is an abundant number, since it is smaller than the sum of its proper divisors (49221265725060).

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

22011110111100 is a wasteful number, since it uses less digits than its factorization.

22011110111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 22011110111100 its reverse (111101111022), we get a palindrome (22122211222122).

It can be divided in two parts, 2 and 2011110111100, that added together give a palindrome (2011110111102).

The spelling of 22011110111100 in words is "twenty-two trillion, eleven billion, one hundred ten million, one hundred eleven thousand, one hundred".