110110100001001 has 2 divisors, whose sum is σ = 110110100001002. Its totient is φ = 110110100001000.

The previous prime is 110110100000987. The next prime is 110110100001017. The reversal of 110110100001001 is 100100001011011.

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., 108642597926976 + 1467502074025 = 10423176^2 + 1211405^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110100001001 - 2¹⁷ = 110110099869929 is a prime.

It is not a weakly prime, because it can be changed into another prime (110110100001701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055050000500 + 55055050000501.

It is an arithmetic number, because the mean of its divisors is an integer number (55055050000501).

Almost surely, 2^{110110100001001} is an apocalyptic number.

It is an amenable number.

110110100001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110100001001 is an equidigital number, since it uses as much as digits as its factorization.

110110100001001 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 7.

Adding to 110110100001001 its reverse (100100001011011), we get a palindrome (210210101012012).

The spelling of 110110100001001 in words is "one hundred ten trillion, one hundred ten billion, one hundred million, one thousand, one".