22002022110100 has 36 divisors (see below), whose sum is σ = 47769503798268. Its totient is φ = 8796179200000.

The previous prime is 22002022110097. The next prime is 22002022110109. The reversal of 22002022110100 is 101122020022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3580466252944 + 18421555857156 = 1892212^2 + 4292034^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002022110109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57679501 + ... + 58059700.

It is an arithmetic number, because the mean of its divisors is an integer number (1326930661063).

Almost surely, 2^{22002022110100} is an apocalyptic number.

22002022110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002022110100 is an abundant number, since it is smaller than the sum of its proper divisors (25767481688168).

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

22002022110100 is a wasteful number, since it uses less digits than its factorization.

22002022110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115741116 (or 115741109 counting only the distinct ones).

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

Adding to 22002022110100 its reverse (101122020022), we get a palindrome (22103144130122).

The spelling of 22002022110100 in words is "twenty-two trillion, two billion, twenty-two million, one hundred ten thousand, one hundred".