11100001110100 has 216 divisors, whose sum is σ = 28816839041760. Its totient is φ = 3698326759680.

The previous prime is 11100001110089. The next prime is 11100001110127. The reversal of 11100001110100 is 101110000111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41374191 + ... + 41641609.

It is an arithmetic number, because the mean of its divisors is an integer number (133411291860).

Almost surely, 2^{11100001110100} is an apocalyptic number.

11100001110100 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 11100001110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14408419520880).

11100001110100 is an abundant number, since it is smaller than the sum of its proper divisors (17716837931660).

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

11100001110100 is a wasteful number, since it uses less digits than its factorization.

11100001110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267687 (or 267673 counting only the distinct ones).

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

Adding to 11100001110100 its reverse (101110000111), we get a palindrome (11201111110211).

It can be divided in two parts, 111000011 and 10100, that added together give a palindrome (111010111).

The spelling of 11100001110100 in words is "eleven trillion, one hundred billion, one million, one hundred ten thousand, one hundred".