100112012209961 has 2 divisors, whose sum is σ = 100112012209962. Its totient is φ = 100112012209960.

The previous prime is 100112012209939. The next prime is 100112012210029. The reversal of 100112012209961 is 169902210211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73391021724736 + 26720990485225 = 8566856^2 + 5169235^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112012209961 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112012209361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056006104980 + 50056006104981.

It is an arithmetic number, because the mean of its divisors is an integer number (50056006104981).

Almost surely, 2^{100112012209961} is an apocalyptic number.

It is an amenable number.

100112012209961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112012209961 is an equidigital number, since it uses as much as digits as its factorization.

100112012209961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 35.

The spelling of 100112012209961 in words is "one hundred trillion, one hundred twelve billion, twelve million, two hundred nine thousand, nine hundred sixty-one".