110052100000 has 288 divisors, whose sum is σ = 283216091760. Its totient is φ = 42040320000.

The previous prime is 110052099973. The next prime is 110052100013. The reversal of 110052100000 is 1250011.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 99929325456 + 10122774544 = 316116^2 + 100612^2 .

It is a super-2 number, since 2×110052100000² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 110052100000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397299862 + ... + 397300138.

Almost surely, 2^110052100000 is an apocalyptic number.

110052100000 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 110052100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141608045880).

110052100000 is an abundant number, since it is smaller than the sum of its proper divisors (173163991760).

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

110052100000 is an equidigital number, since it uses as much as digits as its factorization.

110052100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 450 counting only the distinct ones).

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

Adding to 110052100000 its reverse (1250011), we get a palindrome (110053350011).

The spelling of 110052100000 in words is "one hundred ten billion, fifty-two million, one hundred thousand".