11100122100111 has 64 divisors (see below), whose sum is σ = 16749712415232. Its totient is φ = 6479352000000.

The previous prime is 11100122100079. The next prime is 11100122100149.

11100122100111 is nontrivially palindromic in base 10.

11100122100111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11100122100111 - 2⁵ = 11100122100079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100122100511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121106261 + ... + 1121116161.

It is an arithmetic number, because the mean of its divisors is an integer number (261714256488).

Almost surely, 2^{11100122100111} is an apocalyptic number.

11100122100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11100122100111 is a deficient number, since it is larger than the sum of its proper divisors (5649590315121).

11100122100111 is a wasteful number, since it uses less digits than its factorization.

11100122100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19144.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1110012 and 2100111, that multiplied together give a palindrome (2331148411332).

The spelling of 11100122100111 in words is "eleven trillion, one hundred billion, one hundred twenty-two million, one hundred thousand, one hundred eleven".