22011012122100 has 144 divisors (see below), whose sum is σ = 65755809692160. Its totient is φ = 5678856806400.

The previous prime is 22011012122063. The next prime is 22011012122107. The reversal of 22011012122100 is 122121011022.

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 22011012122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011012122107) 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, 37588356 + ... + 38169444.

Almost surely, 2^{22011012122100} is an apocalyptic number.

22011012122100 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 22011012122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32877904846080).

22011012122100 is an abundant number, since it is smaller than the sum of its proper divisors (43744797570060).

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

22011012122100 is a wasteful number, since it uses less digits than its factorization.

22011012122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585210 (or 585203 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22011012122100 its reverse (122121011022), we get a palindrome (22133133133122).

The spelling of 22011012122100 in words is "twenty-two trillion, eleven billion, twelve million, one hundred twenty-two thousand, one hundred".