1012121009 has 2 divisors, whose sum is σ = 1012121010. Its totient is φ = 1012121008.

The previous prime is 1012120979. The next prime is 1012121021. The reversal of 1012121009 is 9001212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 714385984 + 297735025 = 26728^2 + 17255^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012121009 - 2²⁴ = 995343793 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012121029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506060504 + 506060505.

It is an arithmetic number, because the mean of its divisors is an integer number (506060505).

Almost surely, 2^1012121009 is an apocalyptic number.

It is an amenable number.

1012121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012121009 is an equidigital number, since it uses as much as digits as its factorization.

1012121009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 1012121009 is about 31813.8493269834. The cubic root of 1012121009 is about 1004.0241210614.

The spelling of 1012121009 in words is "one billion, twelve million, one hundred twenty-one thousand, nine".