1002010022081 has 2 divisors, whose sum is σ = 1002010022082. Its totient is φ = 1002010022080.

The previous prime is 1002010022063. The next prime is 1002010022089. The reversal of 1002010022081 is 1802200102001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1001982982081 + 27040000 = 1000991^2 + 5200^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002010022081 - 2¹⁸ = 1002009759937 is a prime.

It is a super-2 number, since 2×1002010022081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1002010022089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501005011040 + 501005011041.

It is an arithmetic number, because the mean of its divisors is an integer number (501005011041).

Almost surely, 2^{1002010022081} is an apocalyptic number.

It is an amenable number.

1002010022081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002010022081 is an equidigital number, since it uses as much as digits as its factorization.

1002010022081 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 1002010022081 its reverse (1802200102001), we get a palindrome (2804210124082).

The spelling of 1002010022081 in words is "one trillion, two billion, ten million, twenty-two thousand, eighty-one".