20001022002121 has 2 divisors, whose sum is σ = 20001022002122. Its totient is φ = 20001022002120.

The previous prime is 20001022002109. The next prime is 20001022002223. The reversal of 20001022002121 is 12120022010002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16247638858896 + 3753383143225 = 4030836^2 + 1937365^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001022002121 - 2²¹ = 20001019904969 is a prime.

It is a super-2 number, since 2×20001022002121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20001022702121) 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, 10000511001060 + 10000511001061.

It is an arithmetic number, because the mean of its divisors is an integer number (10000511001061).

Almost surely, 2^{20001022002121} is an apocalyptic number.

It is an amenable number.

20001022002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001022002121 is an equidigital number, since it uses as much as digits as its factorization.

20001022002121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20001022002121 its reverse (12120022010002), we get a palindrome (32121044012123).

The spelling of 20001022002121 in words is "twenty trillion, one billion, twenty-two million, two thousand, one hundred twenty-one".