22000100222100 has 864 divisors, whose sum is σ = 88440322179328. Its totient is φ = 4105728000000.

The previous prime is 22000100222083. The next prime is 22000100222101. The reversal of 22000100222100 is 122200100022.

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 (22000100222101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122132100 + ... + 122312100.

Almost surely, 2^{22000100222100} is an apocalyptic number.

22000100222100 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 22000100222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44220161089664).

22000100222100 is an abundant number, since it is smaller than the sum of its proper divisors (66440221957228).

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

22000100222100 is a wasteful number, since it uses less digits than its factorization.

22000100222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180097 (or 180079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22000100222100 its reverse (122200100022), we get a palindrome (22122300322122).

The spelling of 22000100222100 in words is "twenty-two trillion, one hundred million, two hundred twenty-two thousand, one hundred".