10111100111101 has 16 divisors (see below), whose sum is σ = 11058393931200. Its totient is φ = 9168519571200.

The previous prime is 10111100111017. The next prime is 10111100111129.

It is a happy number.

10111100111101 is nontrivially palindromic in base 10.

10111100111101 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 10111100111101 - 2⁷ = 10111100110973 is a prime.

10111100111101 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111100111201) 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, 6135130 + ... + 7606708.

It is an arithmetic number, because the mean of its divisors is an integer number (691149620700).

Almost surely, 2^{10111100111101} is an apocalyptic number.

10111100111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111100111101 is a deficient number, since it is larger than the sum of its proper divisors (947293820099).

10111100111101 is a wasteful number, since it uses less digits than its factorization.

10111100111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473180.

The product of its (nonzero) digits is 1, while the sum is 10.

It can be divided in two parts, 10111100 and 111101, that added together give a palindrome (10222201).

The spelling of 10111100111101 in words is "ten trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one hundred one".