112211202001961 has 2 divisors, whose sum is σ = 112211202001962. Its totient is φ = 112211202001960.

The previous prime is 112211202001939. The next prime is 112211202001973. The reversal of 112211202001961 is 169100202112211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97690194307225 + 14521007694736 = 9883835^2 + 3810644^2 .

It is a cyclic number.

It is not a de Polignac number, because 112211202001961 - 2⁶ = 112211202001897 is a prime.

It is not a weakly prime, because it can be changed into another prime (112211202001861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56105601000980 + 56105601000981.

It is an arithmetic number, because the mean of its divisors is an integer number (56105601000981).

Almost surely, 2^{112211202001961} is an apocalyptic number.

It is an amenable number.

112211202001961 is a deficient number, since it is larger than the sum of its proper divisors (1).

112211202001961 is an equidigital number, since it uses as much as digits as its factorization.

112211202001961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 112211202001961 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred two million, one thousand, nine hundred sixty-one".