10012122101981 has 2 divisors, whose sum is σ = 10012122101982. Its totient is φ = 10012122101980.

The previous prime is 10012122101959. The next prime is 10012122102019. The reversal of 10012122101981 is 18910122121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8387198276356 + 1624923825625 = 2896066^2 + 1274725^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012122101981 - 2¹⁴ = 10012122085597 is a prime.

It is a super-2 number, since 2×10012122101981² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012122101951) 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, 5006061050990 + 5006061050991.

It is an arithmetic number, because the mean of its divisors is an integer number (5006061050991).

Almost surely, 2^{10012122101981} is an apocalyptic number.

It is an amenable number.

10012122101981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012122101981 is an equidigital number, since it uses as much as digits as its factorization.

10012122101981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 29.

Adding to 10012122101981 its reverse (18910122121001), we get a palindrome (28922244222982).

The spelling of 10012122101981 in words is "ten trillion, twelve billion, one hundred twenty-two million, one hundred one thousand, nine hundred eighty-one".