22212120101009 has 2 divisors, whose sum is σ = 22212120101010. Its totient is φ = 22212120101008.

The previous prime is 22212120100981. The next prime is 22212120101011. The reversal of 22212120101009 is 90010102121222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20122823307409 + 2089296793600 = 4485847^2 + 1445440^2 .

It is a cyclic number.

It is not a de Polignac number, because 22212120101009 - 2¹² = 22212120096913 is a prime.

It is a Sophie Germain prime.

Together with 22212120101011, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22212120101909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11106060050504 + 11106060050505.

It is an arithmetic number, because the mean of its divisors is an integer number (11106060050505).

Almost surely, 2^{22212120101009} is an apocalyptic number.

It is an amenable number.

22212120101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

22212120101009 is an equidigital number, since it uses as much as digits as its factorization.

22212120101009 is an evil number, because the sum of its binary digits is even.

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

The spelling of 22212120101009 in words is "twenty-two trillion, two hundred twelve billion, one hundred twenty million, one hundred one thousand, nine".