11100100110100 has 108 divisors (see below), whose sum is σ = 25596605598676. Its totient is φ = 4177367470080.

The previous prime is 11100100110031. The next prime is 11100100110101. The reversal of 11100100110100 is 101100100111.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 2045946893956 + 9054153216144 = 1430366^2 + 3009012^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100100110101) 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 35 ways as a sum of consecutive naturals, for example, 82500082 + ... + 82634518.

Almost surely, 2^{11100100110100} is an apocalyptic number.

11100100110100 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 11100100110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12798302799338).

11100100110100 is an abundant number, since it is smaller than the sum of its proper divisors (14496505488576).

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

11100100110100 is a wasteful number, since it uses less digits than its factorization.

11100100110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137342 (or 137318 counting only the distinct ones).

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

Adding to 11100100110100 its reverse (101100100111), we get a palindrome (11201200210211).

The spelling of 11100100110100 in words is "eleven trillion, one hundred billion, one hundred million, one hundred ten thousand, one hundred".