101012012009 has 2 divisors, whose sum is σ = 101012012010. Its totient is φ = 101012012008.

The previous prime is 101012011987. The next prime is 101012012033. The reversal of 101012012009 is 900210210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56965755625 + 44046256384 = 238675^2 + 209872^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012012009 - 2³² = 96717044713 is a prime.

It is not a weakly prime, because it can be changed into another prime (101012072009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506006004 + 50506006005.

It is an arithmetic number, because the mean of its divisors is an integer number (50506006005).

Almost surely, 2^101012012009 is an apocalyptic number.

It is an amenable number.

101012012009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012012009 is an equidigital number, since it uses as much as digits as its factorization.

101012012009 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 101012012009 in words is "one hundred one billion, twelve million, twelve thousand, nine".