110122102010000 has 50 divisors (see below), whose sum is σ = 266616621200622. Its totient is φ = 44048840800000.

The previous prime is 110122102009999. The next prime is 110122102010003. The reversal of 110122102010000 is 10201221011.

It can be written as a sum of positive squares in 5 ways, for example, as 10339903287184 + 99782198722816 = 3215572^2 + 9989104^2 .

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

It is a super-2 number, since 2×110122102010000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110122102010003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5506095101 + ... + 5506115100.

Almost surely, 2^{110122102010000} is an apocalyptic number.

110122102010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110122102010000 is an abundant number, since it is smaller than the sum of its proper divisors (156494519190622).

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

110122102010000 is an equidigital number, since it uses as much as digits as its factorization.

110122102010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11012210229 (or 11012210208 counting only the distinct ones).

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

Adding to 110122102010000 its reverse (10201221011), we get a palindrome (110132303231011).

The spelling of 110122102010000 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred two million, ten thousand".