22102102010000 has 50 divisors (see below), whose sum is σ = 53511399200622. Its totient is φ = 8840840800000.

The previous prime is 22102102009997. The next prime is 22102102010003. The reversal of 22102102010000 is 1020120122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22102102009997) and next prime (22102102010003).

It can be written as a sum of positive squares in 5 ways, for example, as 8088040226704 + 14014061783296 = 2843948^2 + 3743536^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (22102102010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1105095101 + ... + 1105115100.

Almost surely, 2^{22102102010000} is an apocalyptic number.

22102102010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102102010000 is an abundant number, since it is smaller than the sum of its proper divisors (31409297190622).

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

22102102010000 is an equidigital number, since it uses as much as digits as its factorization.

22102102010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210210229 (or 2210210208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22102102010000 its reverse (1020120122), we get a palindrome (22103122130122).

The spelling of 22102102010000 in words is "twenty-two trillion, one hundred two billion, one hundred two million, ten thousand".