100101010967281 has 2 divisors, whose sum is σ = 100101010967282. Its totient is φ = 100101010967280.

The previous prime is 100101010967257. The next prime is 100101010967351. The reversal of 100101010967281 is 182769010101001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92100796711056 + 8000214256225 = 9596916^2 + 2828465^2 .

It is an emirp because it is prime and its reverse (182769010101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100101010967281 - 2¹⁵ = 100101010934513 is a prime.

It is a super-2 number, since 2×100101010967281² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100101010967281.

It is not a weakly prime, because it can be changed into another prime (100101010967231) 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, 50050505483640 + 50050505483641.

It is an arithmetic number, because the mean of its divisors is an integer number (50050505483641).

Almost surely, 2^{100101010967281} is an apocalyptic number.

It is an amenable number.

100101010967281 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101010967281 is an equidigital number, since it uses as much as digits as its factorization.

100101010967281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 37.

The spelling of 100101010967281 in words is "one hundred trillion, one hundred one billion, ten million, nine hundred sixty-seven thousand, two hundred eighty-one".