1100202012180 has 144 divisors (see below), whose sum is σ = 3452885064720. Its totient is φ = 283227162624.

The previous prime is 1100202012127. The next prime is 1100202012181. The reversal of 1100202012180 is 812102020011.

It can be written as a sum of positive squares in 8 ways, for example, as 67876923024 + 1032325089156 = 260532^2 + 1016034^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100202012181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47788032 + ... + 47811048.

It is an arithmetic number, because the mean of its divisors is an integer number (23978368505).

Almost surely, 2^{1100202012180} is an apocalyptic number.

1100202012180 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 1100202012180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726442532360).

1100202012180 is an abundant number, since it is smaller than the sum of its proper divisors (2352683052540).

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

1100202012180 is a wasteful number, since it uses less digits than its factorization.

1100202012180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32218 (or 32213 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1100202012180 its reverse (812102020011), we get a palindrome (1912304032191).

The spelling of 1100202012180 in words is "one trillion, one hundred billion, two hundred two million, twelve thousand, one hundred eighty".