110110101101001 has 6 divisors (see below), whose sum is σ = 159047923812570. Its totient is φ = 73406734067328.

The previous prime is 110110101100973. The next prime is 110110101101009. The reversal of 110110101101001 is 100101101011011.

It can be written as a sum of positive squares in only one way, i.e., 108786485365776 + 1323615735225 = 10430076^2 + 1150485^2 .

It is not a de Polignac number, because 110110101101001 - 2²³ = 110110092712393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12234455677889 = 110110101101001 / (1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (110110101101009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6117227838936 + ... + 6117227838953.

It is an arithmetic number, because the mean of its divisors is an integer number (26507987302095).

Almost surely, 2^{110110101101001} is an apocalyptic number.

It is an amenable number.

110110101101001 is a deficient number, since it is larger than the sum of its proper divisors (48937822711569).

110110101101001 is a wasteful number, since it uses less digits than its factorization.

110110101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12234455677895 (or 12234455677892 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 110110101101001 its reverse (100101101011011), we get a palindrome (210211202112012).

The spelling of 110110101101001 in words is "one hundred ten trillion, one hundred ten billion, one hundred one million, one hundred one thousand, one".