110112010021000 has 256 divisors, whose sum is σ = 287064623401920. Its totient is φ = 39272371200000.

The previous prime is 110112010020989. The next prime is 110112010021007. The reversal of 110112010021000 is 120010211011.

It can be written as a sum of positive squares in 32 ways, for example, as 59463253182564 + 50648756838436 = 7711242^2 + 7116794^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (110112010021007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52810282 + ... + 54855718.

Almost surely, 2^{110112010021000} is an apocalyptic number.

110112010021000 is a gapful number since it is divisible by the number (10) 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 110112010021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143532311700960).

110112010021000 is an abundant number, since it is smaller than the sum of its proper divisors (176952613380920).

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

110112010021000 is a wasteful number, since it uses less digits than its factorization.

110112010021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045613 (or 2045599 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110112010021000 its reverse (120010211011), we get a palindrome (110232020232011).

The spelling of 110112010021000 in words is "one hundred ten trillion, one hundred twelve billion, ten million, twenty-one thousand".