212110122001009 has 2 divisors, whose sum is σ = 212110122001010. Its totient is φ = 212110122001008.

The previous prime is 212110122000977. The next prime is 212110122001039. The reversal of 212110122001009 is 900100221011212.

212110122001009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 140416646161009 + 71693475840000 = 11849753^2 + 8467200^2 .

It is a cyclic number.

It is not a de Polignac number, because 212110122001009 - 2⁵ = 212110122000977 is a prime.

It is not a weakly prime, because it can be changed into another prime (212110122001039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106055061000504 + 106055061000505.

It is an arithmetic number, because the mean of its divisors is an integer number (106055061000505).

Almost surely, 2^{212110122001009} is an apocalyptic number.

It is an amenable number.

212110122001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

212110122001009 is an equidigital number, since it uses as much as digits as its factorization.

212110122001009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 212110122001009 in words is "two hundred twelve trillion, one hundred ten billion, one hundred twenty-two million, one thousand, nine".