111101001081001 has 2 divisors, whose sum is σ = 111101001081002. Its totient is φ = 111101001081000.

The previous prime is 111101001080999. The next prime is 111101001081019. The reversal of 111101001081001 is 100180100101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109472694926400 + 1628306154601 = 10462920^2 + 1276051^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101001081001 - 2¹ = 111101001080999 is a prime.

Together with 111101001080999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (111101001081061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550500540500 + 55550500540501.

It is an arithmetic number, because the mean of its divisors is an integer number (55550500540501).

Almost surely, 2^{111101001081001} is an apocalyptic number.

It is an amenable number.

111101001081001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101001081001 is an equidigital number, since it uses as much as digits as its factorization.

111101001081001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 111101001081001 its reverse (100180100101111), we get a palindrome (211281101182112).

The spelling of 111101001081001 in words is "one hundred eleven trillion, one hundred one billion, one million, eighty-one thousand, one".