1110132120100 has 18 divisors (see below), whose sum is σ = 2408986700834. Its totient is φ = 444052848000.

The previous prime is 1110132120049. The next prime is 1110132120109. The reversal of 1110132120100 is 10212310111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 102610027584 + 1007522092516 = 320328^2 + 1003754^2 .

It is not an unprimeable number, because it can be changed into a prime (1110132120109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5550660501 + ... + 5550660700.

Almost surely, 2^{1110132120100} is an apocalyptic number.

1110132120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110132120100 is an abundant number, since it is smaller than the sum of its proper divisors (1298854580734).

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

1110132120100 is a wasteful number, since it uses less digits than its factorization.

1110132120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101321215 (or 11101321208 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1110132120100 its reverse (10212310111), we get a palindrome (1120344430211).

The spelling of 1110132120100 in words is "one trillion, one hundred ten billion, one hundred thirty-two million, one hundred twenty thousand, one hundred".