111110000101001 has 16 divisors (see below), whose sum is σ = 123494300690688. Its totient is φ = 99123965472000.

The previous prime is 111110000100971. The next prime is 111110000101033. The reversal of 111110000101001 is 100101000011111.

It is a cyclic number.

It is not a de Polignac number, because 111110000101001 - 2³⁰ = 111108926359177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111110000101001.

It is not an unprimeable number, because it can be changed into a prime (111110500101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442392161 + ... + 442643246.

It is an arithmetic number, because the mean of its divisors is an integer number (7718393793168).

Almost surely, 2^{111110000101001} is an apocalyptic number.

111110000101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111110000101001 is a deficient number, since it is larger than the sum of its proper divisors (12384300589687).

111110000101001 is a wasteful number, since it uses less digits than its factorization.

111110000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885035632.

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

Adding to 111110000101001 its reverse (100101000011111), we get a palindrome (211211000112112).

The spelling of 111110000101001 in words is "one hundred eleven trillion, one hundred ten billion, one hundred one thousand, one".