101011212021281 has 2 divisors, whose sum is σ = 101011212021282. Its totient is φ = 101011212021280.

The previous prime is 101011212021169. The next prime is 101011212021319. The reversal of 101011212021281 is 182120212110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60956806410256 + 40054405611025 = 7807484^2 + 6328855^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011212021281 - 2¹⁸ = 101011211759137 is a prime.

It is a super-2 number, since 2×101011212021281² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101011212081281) 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, 50505606010640 + 50505606010641.

It is an arithmetic number, because the mean of its divisors is an integer number (50505606010641).

Almost surely, 2^{101011212021281} is an apocalyptic number.

It is an amenable number.

101011212021281 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011212021281 is an equidigital number, since it uses as much as digits as its factorization.

101011212021281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 23.

Adding to 101011212021281 its reverse (182120212110101), we get a palindrome (283131424131382).

The spelling of 101011212021281 in words is "one hundred one trillion, eleven billion, two hundred twelve million, twenty-one thousand, two hundred eighty-one".