10120111020209 has 2 divisors, whose sum is σ = 10120111020210. Its totient is φ = 10120111020208.

The previous prime is 10120111020163. The next prime is 10120111020277. The reversal of 10120111020209 is 90202011102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6281364250225 + 3838746769984 = 2506265^2 + 1959272^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10120111020209 is a prime.

It is a super-2 number, since 2×10120111020209² (a number of 27 digits) contains 22 as substring.

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 (10120111020809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060055510104 + 5060055510105.

It is an arithmetic number, because the mean of its divisors is an integer number (5060055510105).

Almost surely, 2^{10120111020209} is an apocalyptic number.

It is an amenable number.

10120111020209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120111020209 is an equidigital number, since it uses as much as digits as its factorization.

10120111020209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10120111020209 in words is "ten trillion, one hundred twenty billion, one hundred eleven million, twenty thousand, two hundred nine".