22222222100100 has 1296 divisors, whose sum is σ = 83559383107200. Its totient is φ = 4915377561600.

The previous prime is 22222222100077. The next prime is 22222222100101. The reversal of 22222222100100 is 100122222222.

22222222100100 is a `hidden beast` number, since 2 + 222 + 222 + 210 + 0 + 10 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22222222100101) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 30070665531 + ... + 30070666269.

Almost surely, 2^{22222222100100} is an apocalyptic number.

22222222100100 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 22222222100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41779691553600).

22222222100100 is an abundant number, since it is smaller than the sum of its proper divisors (61337161007100).

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

22222222100100 is a wasteful number, since it uses less digits than its factorization.

22222222100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22222222100100 its reverse (100122222222), we get a palindrome (22322344322322).

It can be divided in two parts, 22222222 and 100100, that added together give a palindrome (22322322).

The spelling of 22222222100100 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred thousand, one hundred".