22002112210000 has 100 divisors (see below), whose sum is σ = 57366953739172. Its totient is φ = 8123856768000.

The previous prime is 22002112209911. The next prime is 22002112210003. The reversal of 22002112210000 is 1221120022.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 21950386895376 + 51725314624 = 4685124^2 + 227432^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002112210003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84493509 + ... + 84753508.

Almost surely, 2^{22002112210000} is an apocalyptic number.

22002112210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002112210000 is an abundant number, since it is smaller than the sum of its proper divisors (35364841529172).

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

22002112210000 is a wasteful number, since it uses less digits than its factorization.

22002112210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169247058 (or 169247037 counting only the distinct ones).

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

Adding to 22002112210000 its reverse (1221120022), we get a palindrome (22003333330022).

The spelling of 22002112210000 in words is "twenty-two trillion, two billion, one hundred twelve million, two hundred ten thousand".