10200101110081 has 2 divisors, whose sum is σ = 10200101110082. Its totient is φ = 10200101110080.

The previous prime is 10200101110079. The next prime is 10200101110139. The reversal of 10200101110081 is 18001110100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8465917640625 + 1734183469456 = 2909625^2 + 1316884^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200101110081 - 2¹ = 10200101110079 is a prime.

It is a super-2 number, since 2×10200101110081² (a number of 27 digits) contains 22 as substring.

Together with 10200101110079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10200101110051) 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, 5100050555040 + 5100050555041.

It is an arithmetic number, because the mean of its divisors is an integer number (5100050555041).

Almost surely, 2^{10200101110081} is an apocalyptic number.

It is an amenable number.

10200101110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200101110081 is an equidigital number, since it uses as much as digits as its factorization.

10200101110081 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 16.

Adding to 10200101110081 its reverse (18001110100201), we get a palindrome (28201211210282).

The spelling of 10200101110081 in words is "ten trillion, two hundred billion, one hundred one million, one hundred ten thousand, eighty-one".