110102112331961 has 2 divisors, whose sum is σ = 110102112331962. Its totient is φ = 110102112331960.

The previous prime is 110102112331889. The next prime is 110102112332033. The reversal of 110102112331961 is 169133211201011.

It is a balanced prime because it is at equal distance from previous prime (110102112331889) and next prime (110102112332033).

It can be written as a sum of positive squares in only one way, i.e., 85312119439936 + 24789992892025 = 9236456^2 + 4978955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110102112331961 is a prime.

It is not a weakly prime, because it can be changed into another prime (110102112331261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55051056165980 + 55051056165981.

It is an arithmetic number, because the mean of its divisors is an integer number (55051056165981).

Almost surely, 2^{110102112331961} is an apocalyptic number.

It is an amenable number.

110102112331961 is a deficient number, since it is larger than the sum of its proper divisors (1).

110102112331961 is an equidigital number, since it uses as much as digits as its factorization.

110102112331961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 32.

Adding to 110102112331961 its reverse (169133211201011), we get a palindrome (279235323532972).

The spelling of 110102112331961 in words is "one hundred ten trillion, one hundred two billion, one hundred twelve million, three hundred thirty-one thousand, nine hundred sixty-one".