10102122212009 has 2 divisors, whose sum is σ = 10102122212010. Its totient is φ = 10102122212008.

The previous prime is 10102122211999. The next prime is 10102122212059. The reversal of 10102122212009 is 90021222120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6716375010409 + 3385747201600 = 2591597^2 + 1840040^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102122212009 - 2¹² = 10102122207913 is a prime.

It is a super-2 number, since 2×10102122212009² (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 (10102122212059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051061106004 + 5051061106005.

It is an arithmetic number, because the mean of its divisors is an integer number (5051061106005).

Almost surely, 2^{10102122212009} is an apocalyptic number.

It is an amenable number.

10102122212009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102122212009 is an equidigital number, since it uses as much as digits as its factorization.

10102122212009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 10102122212009 in words is "ten trillion, one hundred two billion, one hundred twenty-two million, two hundred twelve thousand, nine".