22100002212100 has 72 divisors (see below), whose sum is σ = 48267232852160. Its totient is φ = 8782827131520.

The previous prime is 22100002212083. The next prime is 22100002212103. The reversal of 22100002212100 is 121220000122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22100002212103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172431841 + ... + 172559959.

Almost surely, 2^{22100002212100} is an apocalyptic number.

22100002212100 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 22100002212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24133616426080).

22100002212100 is an abundant number, since it is smaller than the sum of its proper divisors (26167230640060).

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

22100002212100 is a wasteful number, since it uses less digits than its factorization.

22100002212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139277 (or 139270 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22100002212100 its reverse (121220000122), we get a palindrome (22221222212222).

The spelling of 22100002212100 in words is "twenty-two trillion, one hundred billion, two million, two hundred twelve thousand, one hundred".