22100000022100 has 864 divisors, whose sum is σ = 72161431372800. Its totient is φ = 5669338521600.

The previous prime is 22100000022097. The next prime is 22100000022101. The reversal of 22100000022100 is 122000000122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100000022101) 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, 420293611 + ... + 420346189.

It is an arithmetic number, because the mean of its divisors is an integer number (83520175200).

Almost surely, 2^{22100000022100} is an apocalyptic number.

22100000022100 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 22100000022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36080715686400).

22100000022100 is an abundant number, since it is smaller than the sum of its proper divisors (50061431350700).

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

22100000022100 is a wasteful number, since it uses less digits than its factorization.

22100000022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52673 (or 52653 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22100000022100 its reverse (122000000122), we get a palindrome (22222000022222).

It can be divided in two parts, 22100000022 and 100, that added together give a palindrome (22100000122).

The spelling of 22100000022100 in words is "twenty-two trillion, one hundred billion, twenty-two thousand, one hundred".