111101010000101 has 128 divisors (see below), whose sum is σ = 128967517274112. Its totient is φ = 94829253120000.

The previous prime is 111101010000083. The next prime is 111101010000109. The reversal of 111101010000101 is 101000010101111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111101010000101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101010000109) 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 127 ways as a sum of consecutive naturals, for example, 60677776256 + ... + 60677778086.

It is an arithmetic number, because the mean of its divisors is an integer number (1007558728704).

Almost surely, 2^{111101010000101} is an apocalyptic number.

111101010000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111101010000101 is a deficient number, since it is larger than the sum of its proper divisors (17866507274011).

111101010000101 is a wasteful number, since it uses less digits than its factorization.

111101010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 111101010000101 its reverse (101000010101111), we get a palindrome (212101020101212).

It can be divided in two parts, 1111010 and 10000101, that added together give a palindrome (11111111).

The spelling of 111101010000101 in words is "one hundred eleven trillion, one hundred one billion, ten million, one hundred one", and thus it is an aban number.