111010101001 has 2 divisors, whose sum is σ = 111010101002. Its totient is φ = 111010101000.

The previous prime is 111010100987. The next prime is 111010101017. The reversal of 111010101001 is 100101010111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82067925625 + 28942175376 = 286475^2 + 170124^2 .

It is a cyclic number.

It is not a de Polignac number, because 111010101001 - 2⁹ = 111010100489 is a prime.

It is not a weakly prime, because it can be changed into another prime (111010101061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505050500 + 55505050501.

It is an arithmetic number, because the mean of its divisors is an integer number (55505050501).

Almost surely, 2^111010101001 is an apocalyptic number.

It is an amenable number.

111010101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010101001 is an equidigital number, since it uses as much as digits as its factorization.

111010101001 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 7.

Adding to 111010101001 its reverse (100101010111), we get a palindrome (211111111112).

The spelling of 111010101001 in words is "one hundred eleven billion, ten million, one hundred one thousand, one".