100312002221089 has 2 divisors, whose sum is σ = 100312002221090. Its totient is φ = 100312002221088.

The previous prime is 100312002221077. The next prime is 100312002221159. The reversal of 100312002221089 is 980122200213001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92850183374400 + 7461818846689 = 9635880^2 + 2731633^2 .

It is a cyclic number.

It is not a de Polignac number, because 100312002221089 - 2²³ = 100311993832481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100312002221089.

It is not a weakly prime, because it can be changed into another prime (100312002221489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156001110544 + 50156001110545.

It is an arithmetic number, because the mean of its divisors is an integer number (50156001110545).

Almost surely, 2^{100312002221089} is an apocalyptic number.

It is an amenable number.

100312002221089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100312002221089 is an equidigital number, since it uses as much as digits as its factorization.

100312002221089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 100312002221089 in words is "one hundred trillion, three hundred twelve billion, two million, two hundred twenty-one thousand, eighty-nine".