110112311232101 has 2 divisors, whose sum is σ = 110112311232102. Its totient is φ = 110112311232100.

The previous prime is 110112311232067. The next prime is 110112311232149. The reversal of 110112311232101 is 101232113211011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108699182292100 + 1413128940001 = 10425890^2 + 1188751^2 .

It is a cyclic number.

It is not a de Polignac number, because 110112311232101 - 2²⁶ = 110112244123237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110112311231101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55056155616050 + 55056155616051.

It is an arithmetic number, because the mean of its divisors is an integer number (55056155616051).

Almost surely, 2^{110112311232101} is an apocalyptic number.

It is an amenable number.

110112311232101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110112311232101 is an equidigital number, since it uses as much as digits as its factorization.

110112311232101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 110112311232101 its reverse (101232113211011), we get a palindrome (211344424443112).

The spelling of 110112311232101 in words is "one hundred ten trillion, one hundred twelve billion, three hundred eleven million, two hundred thirty-two thousand, one hundred one".