110121202209961 has 2 divisors, whose sum is σ = 110121202209962. Its totient is φ = 110121202209960.

The previous prime is 110121202209913. The next prime is 110121202210021. The reversal of 110121202209961 is 169902202121011.

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., 105454928265625 + 4666273944336 = 10269125^2 + 2160156^2 .

It is a cyclic number.

It is not a de Polignac number, because 110121202209961 - 2²¹ = 110121200112809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110121202209961.

It is not a weakly prime, because it can be changed into another prime (110121202279961) 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, 55060601104980 + 55060601104981.

It is an arithmetic number, because the mean of its divisors is an integer number (55060601104981).

Almost surely, 2^{110121202209961} is an apocalyptic number.

It is an amenable number.

110121202209961 is a deficient number, since it is larger than the sum of its proper divisors (1).

110121202209961 is an equidigital number, since it uses as much as digits as its factorization.

110121202209961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 37.

The spelling of 110121202209961 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred two million, two hundred nine thousand, nine hundred sixty-one".