10020002020081 has 2 divisors, whose sum is σ = 10020002020082. Its totient is φ = 10020002020080.

The previous prime is 10020002020057. The next prime is 10020002020153. The reversal of 10020002020081 is 18002020002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9720776609856 + 299225410225 = 3117816^2 + 547015^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020002020081 - 2²⁵ = 10019968465649 is a prime.

It is a super-2 number, since 2×10020002020081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10020002020031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010001010040 + 5010001010041.

It is an arithmetic number, because the mean of its divisors is an integer number (5010001010041).

Almost surely, 2^{10020002020081} is an apocalyptic number.

It is an amenable number.

10020002020081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020002020081 is an equidigital number, since it uses as much as digits as its factorization.

10020002020081 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 16.

Adding to 10020002020081 its reverse (18002020002001), we get a palindrome (28022022022082).

The spelling of 10020002020081 in words is "ten trillion, twenty billion, two million, twenty thousand, eighty-one".