10111001111111 has 8 divisors (see below), whose sum is σ = 10172586963840. Its totient is φ = 10049427650808.

The previous prime is 10111001111041. The next prime is 10111001111117. The reversal of 10111001111111 is 11111110011101.

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 10111001111111 - 2¹⁸ = 10111000848967 is a prime.

It is a Duffinian number.

10111001111111 is a modest number, since divided by 1111111 gives 1011100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10111001111092 and 10111001111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111001111117) 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, 1458701 + ... + 4727558.

It is an arithmetic number, because the mean of its divisors is an integer number (1271573370480).

Almost surely, 2^{10111001111111} is an apocalyptic number.

10111001111111 is a deficient number, since it is larger than the sum of its proper divisors (61585852729).

10111001111111 is an equidigital number, since it uses as much as digits as its factorization.

10111001111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196213.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 10111001111111 its reverse (11111110011101), we get a palindrome (21222111122212).

The spelling of 10111001111111 in words is "ten trillion, one hundred eleven billion, one million, one hundred eleven thousand, one hundred eleven".