22211122222100 has 144 divisors (see below), whose sum is σ = 58357502880768. Its totient is φ = 7163144079360.

The previous prime is 22211122222097. The next prime is 22211122222103. The reversal of 22211122222100 is 122222111222.

It is an interprime number because it is at equal distance from previous prime (22211122222097) and next prime (22211122222103).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211122222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20084189 + ... + 21161211.

It is an arithmetic number, because the mean of its divisors is an integer number (405260436672).

Almost surely, 2^{22211122222100} is an apocalyptic number.

22211122222100 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 22211122222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29178751440384).

22211122222100 is an abundant number, since it is smaller than the sum of its proper divisors (36146380658668).

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

22211122222100 is a wasteful number, since it uses less digits than its factorization.

22211122222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078794 (or 1078787 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22211122222100 its reverse (122222111222), we get a palindrome (22333344333322).

The spelling of 22211122222100 in words is "twenty-two trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred".