11100110100003 has 128 divisors (see below), whose sum is σ = 17129129149440. Its totient is φ = 7099349898240.

The previous prime is 11100110099999. The next prime is 11100110100029. The reversal of 11100110100003 is 30000101100111.

It is not a de Polignac number, because 11100110100003 - 2² = 11100110099999 is a prime.

It is a super-2 number, since 2×11100110100003² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11100110100073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12238268676 + ... + 12238269582.

It is an arithmetic number, because the mean of its divisors is an integer number (133821321480).

Almost surely, 2^{11100110100003} is an apocalyptic number.

11100110100003 is a deficient number, since it is larger than the sum of its proper divisors (6029019049437).

11100110100003 is a wasteful number, since it uses less digits than its factorization.

11100110100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 11100110100003 its reverse (30000101100111), we get a palindrome (41100211200114).

The spelling of 11100110100003 in words is "eleven trillion, one hundred billion, one hundred ten million, one hundred thousand, three".