10101210010081 has 2 divisors, whose sum is σ = 10101210010082. Its totient is φ = 10101210010080.

The previous prime is 10101210010079. The next prime is 10101210010097. The reversal of 10101210010081 is 18001001210101.

It is an a-pointer prime, because the next prime (10101210010097) can be obtained adding 10101210010081 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9404679557025 + 696530453056 = 3066705^2 + 834584^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101210010081 - 2¹ = 10101210010079 is a prime.

It is a super-2 number, since 2×10101210010081² (a number of 27 digits) contains 22 as substring.

Together with 10101210010079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10101210014081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050605005040 + 5050605005041.

It is an arithmetic number, because the mean of its divisors is an integer number (5050605005041).

Almost surely, 2^{10101210010081} is an apocalyptic number.

It is an amenable number.

10101210010081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101210010081 is an equidigital number, since it uses as much as digits as its factorization.

10101210010081 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 10101210010081 its reverse (18001001210101), we get a palindrome (28102211220182).

The spelling of 10101210010081 in words is "ten trillion, one hundred one billion, two hundred ten million, ten thousand, eighty-one".