2001012022081 has 2 divisors, whose sum is σ = 2001012022082. Its totient is φ = 2001012022080.

The previous prime is 2001012022069. The next prime is 2001012022091. The reversal of 2001012022081 is 1802202101002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1520646591025 + 480365431056 = 1233145^2 + 693084^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001012022081 - 2⁵ = 2001012022049 is a prime.

It is a super-2 number, since 2×2001012022081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2001012022021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000506011040 + 1000506011041.

It is an arithmetic number, because the mean of its divisors is an integer number (1000506011041).

Almost surely, 2^{2001012022081} is an apocalyptic number.

It is an amenable number.

2001012022081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001012022081 is an equidigital number, since it uses as much as digits as its factorization.

2001012022081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2001012022081 its reverse (1802202101002), we get a palindrome (3803214123083).

The spelling of 2001012022081 in words is "two trillion, one billion, twelve million, twenty-two thousand, eighty-one".