22121110010000 has 100 divisors (see below), whose sum is σ = 53575603140972. Its totient is φ = 8845439808000.

The previous prime is 22121110009993. The next prime is 22121110010039. The reversal of 22121110010000 is 1001112122.

It can be written as a sum of positive squares in 10 ways, for example, as 17589099172096 + 4532010837904 = 4193936^2 + 2128852^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29195954 + ... + 29944046.

Almost surely, 2^{22121110010000} is an apocalyptic number.

22121110010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121110010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26787801570486).

22121110010000 is an abundant number, since it is smaller than the sum of its proper divisors (31454493130972).

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

22121110010000 is an equidigital number, since it uses as much as digits as its factorization.

22121110010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751078 (or 751057 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22121110010000 its reverse (1001112122), we get a palindrome (22122111122122).

The spelling of 22121110010000 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred ten million, ten thousand".