10111111111101 has 288 divisors, whose sum is σ = 19216481544576. Its totient is φ = 4670265600000.

The previous prime is 10111111111097. The next prime is 10111111111103.

10111111111101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10111111111101 - 2² = 10111111111097 is a prime.

10111111111101 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111111111103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1021216251 + ... + 1021226151.

It is an arithmetic number, because the mean of its divisors is an integer number (66723894252).

Almost surely, 2^{10111111111101} is an apocalyptic number.

10111111111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111111111101 is a deficient number, since it is larger than the sum of its proper divisors (9105370433475).

10111111111101 is a wasteful number, since it uses less digits than its factorization.

10111111111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10093 (or 10073 counting only the distinct ones).

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

It can be divided in two parts, 1011111 and 1111101, that multiplied together give a palindrome (1123446443211).

The spelling of 10111111111101 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred one".