110110101121001 has 2 divisors, whose sum is σ = 110110101121002. Its totient is φ = 110110101121000.

The previous prime is 110110101120941. The next prime is 110110101121037. The reversal of 110110101121001 is 100121101011011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108062282880601 + 2047818240400 = 10395301^2 + 1431020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110110101121001 is a prime.

It is not a weakly prime, because it can be changed into another prime (110110101121051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055050560500 + 55055050560501.

It is an arithmetic number, because the mean of its divisors is an integer number (55055050560501).

Almost surely, 2^{110110101121001} is an apocalyptic number.

It is an amenable number.

110110101121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110101121001 is an equidigital number, since it uses as much as digits as its factorization.

110110101121001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110110101121001 its reverse (100121101011011), we get a palindrome (210231202132012).

The spelling of 110110101121001 in words is "one hundred ten trillion, one hundred ten billion, one hundred one million, one hundred twenty-one thousand, one".