20102100200081 has 2 divisors, whose sum is σ = 20102100200082. Its totient is φ = 20102100200080.

The previous prime is 20102100199999. The next prime is 20102100200093. The reversal of 20102100200081 is 18000200120102.

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., 13756532640400 + 6345567559681 = 3708980^2 + 2519041^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102100200081 - 2²² = 20102096005777 is a prime.

It is a super-2 number, since 2×20102100200081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20102100202081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10051050100040 + 10051050100041.

It is an arithmetic number, because the mean of its divisors is an integer number (10051050100041).

Almost surely, 2^{20102100200081} is an apocalyptic number.

It is an amenable number.

20102100200081 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102100200081 is an equidigital number, since it uses as much as digits as its factorization.

20102100200081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20102100200081 its reverse (18000200120102), we get a palindrome (38102300320183).

The spelling of 20102100200081 in words is "twenty trillion, one hundred two billion, one hundred million, two hundred thousand, eighty-one".