111101000101001 has 2 divisors, whose sum is σ = 111101000101002. Its totient is φ = 111101000101000.

The previous prime is 111101000100977. The next prime is 111101000101033. The reversal of 111101000101001 is 100101000101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110816992111225 + 284007989776 = 10526965^2 + 532924^2 .

It is an emirp because it is prime and its reverse (100101000101111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111101000101001 - 2³⁴ = 111083820231817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111101000101001.

It is not a weakly prime, because it can be changed into another prime (111101000100001) 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 as a sum of consecutive naturals, namely, 55550500050500 + 55550500050501.

It is an arithmetic number, because the mean of its divisors is an integer number (55550500050501).

Almost surely, 2^{111101000101001} is an apocalyptic number.

It is an amenable number.

111101000101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101000101001 is an equidigital number, since it uses as much as digits as its factorization.

111101000101001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 111101000101001 its reverse (100101000101111), we get a palindrome (211202000202112).

The spelling of 111101000101001 in words is "one hundred eleven trillion, one hundred one billion, one hundred one thousand, one".