2002120022081 has 2 divisors, whose sum is σ = 2002120022082. Its totient is φ = 2002120022080.

The previous prime is 2002120022059. The next prime is 2002120022159. The reversal of 2002120022081 is 1802200212002.

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., 1991217321025 + 10902701056 = 1411105^2 + 104416^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002120022081 is a prime.

It is a super-2 number, since 2×2002120022081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2002120021081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001060011040 + 1001060011041.

It is an arithmetic number, because the mean of its divisors is an integer number (1001060011041).

Almost surely, 2^{2002120022081} is an apocalyptic number.

It is an amenable number.

2002120022081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002120022081 is an equidigital number, since it uses as much as digits as its factorization.

2002120022081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2002120022081 its reverse (1802200212002), we get a palindrome (3804320234083).

The spelling of 2002120022081 in words is "two trillion, two billion, one hundred twenty million, twenty-two thousand, eighty-one".