10101110101111 has 8 divisors (see below), whose sum is σ = 10103248928880. Its totient is φ = 10098971483328.

The previous prime is 10101110101099. The next prime is 10101110101129. The reversal of 10101110101111 is 11110101110101.

It is a happy number.

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 10101110101111 - 2³⁵ = 10066750362743 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101110101211) 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 7 ways as a sum of consecutive naturals, for example, 126589635 + ... + 126669403.

It is an arithmetic number, because the mean of its divisors is an integer number (1262906116110).

Almost surely, 2^{10101110101111} is an apocalyptic number.

10101110101111 is a deficient number, since it is larger than the sum of its proper divisors (2138827769).

10101110101111 is an equidigital number, since it uses as much as digits as its factorization.

10101110101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104993.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10101110101111 its reverse (11110101110101), we get a palindrome (21211211211212).

It can be divided in two parts, 10101110101 and 111, that multiplied together give a palindrome (1121223221211).

The spelling of 10101110101111 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred one thousand, one hundred eleven".