20001002120081 has 2 divisors, whose sum is σ = 20001002120082. Its totient is φ = 20001002120080.

The previous prime is 20001002120069. The next prime is 20001002120111. The reversal of 20001002120081 is 18002120010002.

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., 10169115099025 + 9831887021056 = 3188905^2 + 3135584^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001002120081 - 2¹⁸ = 20001001857937 is a prime.

It is a super-2 number, since 2×20001002120081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20001002120581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000501060040 + 10000501060041.

It is an arithmetic number, because the mean of its divisors is an integer number (10000501060041).

Almost surely, 2^{20001002120081} is an apocalyptic number.

It is an amenable number.

20001002120081 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001002120081 is an equidigital number, since it uses as much as digits as its factorization.

20001002120081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20001002120081 its reverse (18002120010002), we get a palindrome (38003122130083).

The spelling of 20001002120081 in words is "twenty trillion, one billion, two million, one hundred twenty thousand, eighty-one".