10111101111111 has 128 divisors (see below), whose sum is σ = 18621678974976. Its totient is φ = 4709454151680.

The previous prime is 10111101111107. The next prime is 10111101111113. The reversal of 10111101111111 is 11111110111101.

It is not a de Polignac number, because 10111101111111 - 2² = 10111101111107 is a prime.

It is a super-2 number, since 2×10111101111111² (a number of 27 digits) contains 22 as substring.

10111101111111 is a modest number, since divided by 1111111 gives 1011110 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111101111113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65812095 + ... + 65965551.

It is an arithmetic number, because the mean of its divisors is an integer number (145481866992).

Almost surely, 2^{10111101111111} is an apocalyptic number.

10111101111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10111101111111 is a deficient number, since it is larger than the sum of its proper divisors (8510577863865).

10111101111111 is a wasteful number, since it uses less digits than its factorization.

10111101111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154121.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 10111101111111 its reverse (11111110111101), we get a palindrome (21222211222212).

It can be divided in two parts, 10111101 and 111111, that multiplied together give a palindrome (1123454543211).

The spelling of 10111101111111 in words is "ten trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred eleven".