10111100100111 has 32 divisors (see below), whose sum is σ = 15264124920000. Its totient is φ = 6612645371904.

The previous prime is 10111100100043. The next prime is 10111100100133. The reversal of 10111100100111 is 11100100111101.

It is not a de Polignac number, because 10111100100111 - 2¹⁴ = 10111100083727 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 = 10111100100093 and 10111100100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111100100911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10065615 + ... + 11024463.

It is an arithmetic number, because the mean of its divisors is an integer number (477003903750).

Almost surely, 2^{10111100100111} is an apocalyptic number.

10111100100111 is a deficient number, since it is larger than the sum of its proper divisors (5153024819889).

10111100100111 is an equidigital number, since it uses as much as digits as its factorization.

10111100100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966280 (or 966274 counting only the distinct ones).

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

Adding to 10111100100111 its reverse (11100100111101), we get a palindrome (21211200211212).

It can be divided in two parts, 101 and 11100100111, that multiplied together give a palindrome (1121110111211).

The spelling of 10111100100111 in words is "ten trillion, one hundred eleven billion, one hundred million, one hundred thousand, one hundred eleven".