111010101010111 has 64 divisors (see below), whose sum is σ = 122681641420800. Its totient is φ = 100085630054400.

The previous prime is 111010101010019. The next prime is 111010101010223.

It is a happy number.

111010101010111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 111010101010111 - 2¹⁷ = 111010100879039 is a prime.

111010101010111 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111010101010411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2111274820 + ... + 2111327398.

It is an arithmetic number, because the mean of its divisors is an integer number (1916900647200).

Almost surely, 2^{111010101010111} is an apocalyptic number.

111010101010111 is a deficient number, since it is larger than the sum of its proper divisors (11671540410689).

111010101010111 is a wasteful number, since it uses less digits than its factorization.

111010101010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53120.

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

It can be divided in two parts, 11101010 and 1010111, that added together give a palindrome (12111121).

The spelling of 111010101010111 in words is "one hundred eleven trillion, ten billion, one hundred one million, ten thousand, one hundred eleven".