111110100000101 has 16 divisors (see below), whose sum is σ = 112258768261248. Its totient is φ = 109962394584000.

The previous prime is 111110100000089. The next prime is 111110100000113. The reversal of 111110100000101 is 101000001011111.

It is an interprime number because it is at equal distance from previous prime (111110100000089) and next prime (111110100000113).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111110100000101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111110100000181) 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 15 ways as a sum of consecutive naturals, for example, 2652214511 + ... + 2652256403.

It is an arithmetic number, because the mean of its divisors is an integer number (7016173016328).

Almost surely, 2^{111110100000101} is an apocalyptic number.

It is an amenable number.

111110100000101 is a deficient number, since it is larger than the sum of its proper divisors (1148668261147).

111110100000101 is a wasteful number, since it uses less digits than its factorization.

111110100000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52732.

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

Adding to 111110100000101 its reverse (101000001011111), we get a palindrome (212110101011212).

It can be divided in two parts, 1111 and 10100000101, that multiplied together give a palindrome (11221100112211).

The spelling of 111110100000101 in words is "one hundred eleven trillion, one hundred ten billion, one hundred million, one hundred one", and thus it is an aban number.