1130055052100 has 72 divisors (see below), whose sum is σ = 2641048102728. Its totient is φ = 417220070400.

The previous prime is 1130055052099. The next prime is 1130055052103. The reversal of 1130055052100 is 12505500311.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 746160805636 + 383894246464 = 863806^2 + 619592^2 .

It is not an unprimeable number, because it can be changed into a prime (1130055052103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24782522 + ... + 24828078.

It is an arithmetic number, because the mean of its divisors is an integer number (36681223649).

Almost surely, 2^{1130055052100} is an apocalyptic number.

1130055052100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130055052100 is an abundant number, since it is smaller than the sum of its proper divisors (1510993050628).

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

1130055052100 is a wasteful number, since it uses less digits than its factorization.

1130055052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64665 (or 64658 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 1130055052100 in words is "one trillion, one hundred thirty billion, fifty-five million, fifty-two thousand, one hundred".