1012101122009 has 2 divisors, whose sum is σ = 1012101122010. Its totient is φ = 1012101122008.

The previous prime is 1012101121973. The next prime is 1012101122027. The reversal of 1012101122009 is 9002211012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 627694921984 + 384406200025 = 792272^2 + 620005^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012101122009 - 2³⁶ = 943381645273 is a prime.

It is a super-3 number, since 3×1012101122009³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1012101122029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506050561004 + 506050561005.

It is an arithmetic number, because the mean of its divisors is an integer number (506050561005).

Almost surely, 2^{1012101122009} is an apocalyptic number.

It is an amenable number.

1012101122009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012101122009 is an equidigital number, since it uses as much as digits as its factorization.

1012101122009 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 1012101122009 in words is "one trillion, twelve billion, one hundred one million, one hundred twenty-two thousand, nine".