11100100111001 has 16 divisors (see below), whose sum is σ = 12822778778688. Its totient is φ = 9496469068800.

The previous prime is 11100100110949. The next prime is 11100100111007. The reversal of 11100100111001 is 10011100100111.

It is a cyclic number.

It is not a de Polignac number, because 11100100111001 - 2³⁴ = 11082920241817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11100100111001.

It is not an unprimeable number, because it can be changed into a prime (11100100111007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054160 + ... + 4828193.

It is an arithmetic number, because the mean of its divisors is an integer number (801423673668).

Almost surely, 2^{11100100111001} is an apocalyptic number.

11100100111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11100100111001 is a deficient number, since it is larger than the sum of its proper divisors (1722678667687).

11100100111001 is a wasteful number, since it uses less digits than its factorization.

11100100111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892472.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11100100111001 its reverse (10011100100111), we get a palindrome (21111200211112).

It can be divided in two parts, 11100100 and 111001, that multiplied together give a square (1232122200100 = 1110010²).

The spelling of 11100100111001 in words is "eleven trillion, one hundred billion, one hundred million, one hundred eleven thousand, one".