110101001302349 has 2 divisors, whose sum is σ = 110101001302350. Its totient is φ = 110101001302348.

The previous prime is 110101001302267. The next prime is 110101001302399. The reversal of 110101001302349 is 943203100101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105888318942025 + 4212682360324 = 10290205^2 + 2052482^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110101001302349 is a prime.

It is a super-2 number, since 2×110101001302349² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101001302399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050500651174 + 55050500651175.

It is an arithmetic number, because the mean of its divisors is an integer number (55050500651175).

Almost surely, 2^{110101001302349} is an apocalyptic number.

It is an amenable number.

110101001302349 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101001302349 is an equidigital number, since it uses as much as digits as its factorization.

110101001302349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 110101001302349 in words is "one hundred ten trillion, one hundred one billion, one million, three hundred two thousand, three hundred forty-nine".