101023121009 has 2 divisors, whose sum is σ = 101023121010. Its totient is φ = 101023121008.

The previous prime is 101023120981. The next prime is 101023121039. The reversal of 101023121009 is 900121320101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76025929984 + 24997191025 = 275728^2 + 158105^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101023121009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101023121039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511560504 + 50511560505.

It is an arithmetic number, because the mean of its divisors is an integer number (50511560505).

Almost surely, 2^101023121009 is an apocalyptic number.

It is an amenable number.

101023121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101023121009 is an equidigital number, since it uses as much as digits as its factorization.

101023121009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 101023121009 in words is "one hundred one billion, twenty-three million, one hundred twenty-one thousand, nine".