10002100081 has 2 divisors, whose sum is σ = 10002100082. Its totient is φ = 10002100080.

The previous prime is 10002100039. The next prime is 10002100111. The reversal of 10002100081 is 18000120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9717030625 + 285069456 = 98575^2 + 16884^2 .

It is an emirp because it is prime and its reverse (18000120001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002100081 - 2³¹ = 7854616433 is a prime.

It is a super-2 number, since 2×10002100081² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10002100181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001050040 + 5001050041.

It is an arithmetic number, because the mean of its divisors is an integer number (5001050041).

Almost surely, 2^10002100081 is an apocalyptic number.

It is an amenable number.

10002100081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002100081 is an equidigital number, since it uses as much as digits as its factorization.

10002100081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10002100081 its reverse (18000120001), we get a palindrome (28002220082).

The spelling of 10002100081 in words is "ten billion, two million, one hundred thousand, eighty-one".