10120220102009 has 2 divisors, whose sum is σ = 10120220102010. Its totient is φ = 10120220102008.

The previous prime is 10120220101987. The next prime is 10120220102011. The reversal of 10120220102009 is 90020102202101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9575063809600 + 545156292409 = 3094360^2 + 738347^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10120220102009 is a prime.

Together with 10120220102011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10120220192009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060110051004 + 5060110051005.

It is an arithmetic number, because the mean of its divisors is an integer number (5060110051005).

Almost surely, 2^{10120220102009} is an apocalyptic number.

It is an amenable number.

10120220102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120220102009 is an equidigital number, since it uses as much as digits as its factorization.

10120220102009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 10120220102009 in words is "ten trillion, one hundred twenty billion, two hundred twenty million, one hundred two thousand, nine".