11100101100100 has 72 divisors (see below), whose sum is σ = 24920471003400. Its totient is φ = 4286478336000.

The previous prime is 11100101100097. The next prime is 11100101100161. The reversal of 11100101100100 is 100110100111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 656048161024 + 10444052939076 = 809968^2 + 3231726^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27643566 + ... + 28042234.

It is an arithmetic number, because the mean of its divisors is an integer number (346117652825).

Almost surely, 2^{11100101100100} is an apocalyptic number.

11100101100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100101100100 is an abundant number, since it is smaller than the sum of its proper divisors (13820369903300).

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

11100101100100 is a wasteful number, since it uses less digits than its factorization.

11100101100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408313 (or 408306 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11100101100100 its reverse (100110100111), we get a palindrome (11200211200211).

The spelling of 11100101100100 in words is "eleven trillion, one hundred billion, one hundred one million, one hundred thousand, one hundred".