22102120012100 has 18 divisors (see below), whose sum is σ = 47961600426474. Its totient is φ = 8840848004800.

The previous prime is 22102120012033. The next prime is 22102120012103. The reversal of 22102120012100 is 121002120122.

It can be written as a sum of positive squares in 3 ways, for example, as 349205356096 + 21752914656004 = 590936^2 + 4664002^2 .

It is not an unprimeable number, because it can be changed into a prime (22102120012103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110510599961 + ... + 110510600160.

Almost surely, 2^{22102120012100} is an apocalyptic number.

22102120012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102120012100 is an abundant number, since it is smaller than the sum of its proper divisors (25859480414374).

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

22102120012100 is a wasteful number, since it uses less digits than its factorization.

22102120012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221021200135 (or 221021200128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22102120012100 its reverse (121002120122), we get a palindrome (22223122132222).

The spelling of 22102120012100 in words is "twenty-two trillion, one hundred two billion, one hundred twenty million, twelve thousand, one hundred".