10110110101001 has 2 divisors, whose sum is σ = 10110110101002. Its totient is φ = 10110110101000.

The previous prime is 10110110100973. The next prime is 10110110101009. The reversal of 10110110101001 is 10010101101101.

It is an a-pointer prime, because the next prime (10110110101009) can be obtained adding 10110110101001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9284519796601 + 825590304400 = 3047051^2 + 908620^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110110101001 - 2²² = 10110105906697 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10110110101001.

It is not a weakly prime, because it can be changed into another prime (10110110101009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055055050500 + 5055055050501.

It is an arithmetic number, because the mean of its divisors is an integer number (5055055050501).

Almost surely, 2^{10110110101001} is an apocalyptic number.

It is an amenable number.

10110110101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110110101001 is an equidigital number, since it uses as much as digits as its factorization.

10110110101001 is an evil number, because the sum of its binary digits is even.

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

Adding to 10110110101001 its reverse (10010101101101), we get a palindrome (20120211202102).

The spelling of 10110110101001 in words is "ten trillion, one hundred ten billion, one hundred ten million, one hundred one thousand, one".