20001020102201 has 2 divisors, whose sum is σ = 20001020102202. Its totient is φ = 20001020102200.

The previous prime is 20001020102137. The next prime is 20001020102221. The reversal of 20001020102201 is 10220102010002.

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., 19952516646976 + 48503455225 = 4466824^2 + 220235^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001020102201 - 2⁶ = 20001020102137 is a prime.

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 (20001020102221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000510051100 + 10000510051101.

It is an arithmetic number, because the mean of its divisors is an integer number (10000510051101).

Almost surely, 2^{20001020102201} is an apocalyptic number.

It is an amenable number.

20001020102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001020102201 is an equidigital number, since it uses as much as digits as its factorization.

20001020102201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20001020102201 its reverse (10220102010002), we get a palindrome (30221122112203).

The spelling of 20001020102201 in words is "twenty trillion, one billion, twenty million, one hundred two thousand, two hundred one".