20001001022081 has 2 divisors, whose sum is σ = 20001001022082. Its totient is φ = 20001001022080.

The previous prime is 20001001022063. The next prime is 20001001022153. The reversal of 20001001022081 is 18022010010002.

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., 19117147203856 + 883853818225 = 4372316^2 + 940135^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001001022081 - 2¹⁴ = 20001001005697 is a prime.

It is a super-2 number, since 2×20001001022081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20001001522081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000500511040 + 10000500511041.

It is an arithmetic number, because the mean of its divisors is an integer number (10000500511041).

Almost surely, 2^{20001001022081} is an apocalyptic number.

It is an amenable number.

20001001022081 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001001022081 is an equidigital number, since it uses as much as digits as its factorization.

20001001022081 is an evil number, because the sum of its binary digits is even.

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

Adding to 20001001022081 its reverse (18022010010002), we get a palindrome (38023011032083).

The spelling of 20001001022081 in words is "twenty trillion, one billion, one million, twenty-two thousand, eighty-one".