10122011011009 has 2 divisors, whose sum is σ = 10122011011010. Its totient is φ = 10122011011008.

The previous prime is 10122011010997. The next prime is 10122011011069. The reversal of 10122011011009 is 90011011022101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9658712975409 + 463298035600 = 3107847^2 + 680660^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122011011009 - 2³⁹ = 9572255197121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122011011069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061005505504 + 5061005505505.

It is an arithmetic number, because the mean of its divisors is an integer number (5061005505505).

Almost surely, 2^{10122011011009} is an apocalyptic number.

It is an amenable number.

10122011011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122011011009 is an equidigital number, since it uses as much as digits as its factorization.

10122011011009 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 19.

The spelling of 10122011011009 in words is "ten trillion, one hundred twenty-two billion, eleven million, eleven thousand, nine".