10111010100111 has 12 divisors (see below), whose sum is σ = 14604908796192. Its totient is φ = 6740619663456.

The previous prime is 10111010100077. The next prime is 10111010100167. The reversal of 10111010100111 is 11100101011101.

It is not a de Polignac number, because 10111010100111 - 2²¹ = 10111008002959 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 = 10111010100093 and 10111010100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111010170111) 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, 3269206 + ... + 5559651.

It is an arithmetic number, because the mean of its divisors is an integer number (1217075733016).

Almost surely, 2^{10111010100111} is an apocalyptic number.

10111010100111 is a deficient number, since it is larger than the sum of its proper divisors (4493898696081).

10111010100111 is a wasteful number, since it uses less digits than its factorization.

10111010100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8956110 (or 8956107 counting only the distinct ones).

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

Adding to 10111010100111 its reverse (11100101011101), we get a palindrome (21211111111212).

The spelling of 10111010100111 in words is "ten trillion, one hundred eleven billion, ten million, one hundred thousand, one hundred eleven".