10010111100111 has 12 divisors (see below), whose sum is σ = 14925470314560. Its totient is φ = 6458136193440.

The previous prime is 10010111099977. The next prime is 10010111100127. The reversal of 10010111100111 is 11100111101001.

10010111100111 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 10010111100111 - 2¹⁷ = 10010110969039 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10010111100093 and 10010111100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010111100191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17939266926 + ... + 17939267483.

It is an arithmetic number, because the mean of its divisors is an integer number (1243789192880).

Almost surely, 2^{10010111100111} is an apocalyptic number.

10010111100111 is a deficient number, since it is larger than the sum of its proper divisors (4915359214449).

10010111100111 is a wasteful number, since it uses less digits than its factorization.

10010111100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35878534446 (or 35878534443 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10010111100111 its reverse (11100111101001), we get a palindrome (21110222201112).

The spelling of 10010111100111 in words is "ten trillion, ten billion, one hundred eleven million, one hundred thousand, one hundred eleven".