22122202102100 has 18 divisors (see below), whose sum is σ = 48005178561774. Its totient is φ = 8848880840800.

The previous prime is 22122202102079. The next prime is 22122202102127. The reversal of 22122202102100 is 120120222122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5491579801744 + 16630622300356 = 2343412^2 + 4078066^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110611010411 + ... + 110611010610.

It is an arithmetic number, because the mean of its divisors is an integer number (2666954364543).

Almost surely, 2^{22122202102100} is an apocalyptic number.

22122202102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122202102100 is an abundant number, since it is smaller than the sum of its proper divisors (25882976459674).

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

22122202102100 is a wasteful number, since it uses less digits than its factorization.

22122202102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221222021035 (or 221222021028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22122202102100 its reverse (120120222122), we get a palindrome (22242322324222).

The spelling of 22122202102100 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred two million, one hundred two thousand, one hundred".