10221010122331 has 2 divisors, whose sum is σ = 10221010122332. Its totient is φ = 10221010122330.

The previous prime is 10221010122313. The next prime is 10221010122341. The reversal of 10221010122331 is 13322101012201.

Together with previous prime (10221010122313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (13322101012201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10221010122331 - 2¹⁹ = 10221009598043 is a prime.

It is a super-3 number, since 3×10221010122331³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10221010122299 and 10221010122308.

It is not a weakly prime, because it can be changed into another prime (10221010122311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110505061165 + 5110505061166.

It is an arithmetic number, because the mean of its divisors is an integer number (5110505061166).

Almost surely, 2^{10221010122331} is an apocalyptic number.

10221010122331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221010122331 is an equidigital number, since it uses as much as digits as its factorization.

10221010122331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10221010122331 its reverse (13322101012201), we get a palindrome (23543111134532).

The spelling of 10221010122331 in words is "ten trillion, two hundred twenty-one billion, ten million, one hundred twenty-two thousand, three hundred thirty-one".