100112101110961 has 2 divisors, whose sum is σ = 100112101110962. Its totient is φ = 100112101110960.

The previous prime is 100112101110887. The next prime is 100112101111063. The reversal of 100112101110961 is 169011101211001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93834946680336 + 6277154430625 = 9686844^2 + 2505425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112101110961 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112101110361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056050555480 + 50056050555481.

It is an arithmetic number, because the mean of its divisors is an integer number (50056050555481).

Almost surely, 2^{100112101110961} is an apocalyptic number.

It is an amenable number.

100112101110961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112101110961 is an equidigital number, since it uses as much as digits as its factorization.

100112101110961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 25.

Adding to 100112101110961 its reverse (169011101211001), we get a palindrome (269123202321962).

The spelling of 100112101110961 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, one hundred ten thousand, nine hundred sixty-one".