1101099745800 has 216 divisors, whose sum is σ = 3902729871690. Its totient is φ = 278172403200.

The previous prime is 1101099745769. The next prime is 1101099745817. The reversal of 1101099745800 is 85479901011.

It is a happy number.

1101099745800 is a `hidden beast` number, since 1 + 1 + 0 + 109 + 97 + 458 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 508794036804 + 592305708996 = 713298^2 + 769614^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 197461 + ... + 1497060.

Almost surely, 2^{1101099745800} is an apocalyptic number.

1101099745800 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 1101099745800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951364935845).

1101099745800 is an abundant number, since it is smaller than the sum of its proper divisors (2801630125890).

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

1101099745800 is a wasteful number, since it uses less digits than its factorization.

1101099745800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694581 (or 1694550 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 1101099745800 in words is "one trillion, one hundred one billion, ninety-nine million, seven hundred forty-five thousand, eight hundred".