10111100101111 has 8 divisors (see below), whose sum is σ = 10705978397664. Its totient is φ = 9516233771520.

The previous prime is 10111100101103. The next prime is 10111100101129. The reversal of 10111100101111 is 11110100111101.

It is a happy number.

10111100101111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10111100101111 - 2³ = 10111100101103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111100101811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1222290 + ... + 4660063.

It is an arithmetic number, because the mean of its divisors is an integer number (1338247299708).

Almost surely, 2^{10111100101111} is an apocalyptic number.

10111100101111 is a deficient number, since it is larger than the sum of its proper divisors (594878296553).

10111100101111 is a wasteful number, since it uses less digits than its factorization.

10111100101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5983481.

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

Adding to 10111100101111 its reverse (11110100111101), we get a palindrome (21221200212212).

It can be divided in two parts, 10111100 and 101111, that multiplied together give a square (1022343432100 = 1011110²).

The spelling of 10111100101111 in words is "ten trillion, one hundred eleven billion, one hundred million, one hundred one thousand, one hundred eleven".