10000002122009 has 2 divisors, whose sum is σ = 10000002122010. Its totient is φ = 10000002122008.

The previous prime is 10000002121987. The next prime is 10000002122027. The reversal of 10000002122009 is 90022120000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9865755360400 + 134246761609 = 3140980^2 + 366397^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000002122009 - 2¹² = 10000002117913 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000002124009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000001061004 + 5000001061005.

It is an arithmetic number, because the mean of its divisors is an integer number (5000001061005).

Almost surely, 2^{10000002122009} is an apocalyptic number.

It is an amenable number.

10000002122009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000002122009 is an equidigital number, since it uses as much as digits as its factorization.

10000002122009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 10000002122009 in words is "ten trillion, two million, one hundred twenty-two thousand, nine".