10001111101110 has 96 divisors (see below), whose sum is σ = 26708716655712. Its totient is φ = 2594586816000.

The previous prime is 10001111101099. The next prime is 10001111101133. The reversal of 10001111101110 is 1110111110001.

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 = 10001111101092 and 10001111101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29806497 + ... + 30140163.

It is an arithmetic number, because the mean of its divisors is an integer number (278215798497).

Almost surely, 2^{10001111101110} is an apocalyptic number.

10001111101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001111101110 is an abundant number, since it is smaller than the sum of its proper divisors (16707605554602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001111101110 is a wasteful number, since it uses less digits than its factorization.

10001111101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342718 (or 342715 counting only the distinct ones).

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

Adding to 10001111101110 its reverse (1110111110001), we get a palindrome (11111222211111).

It can be divided in two parts, 10001 and 111101110, that added together give a palindrome (111111111).

The spelling of 10001111101110 in words is "ten trillion, one billion, one hundred eleven million, one hundred one thousand, one hundred ten".