10102222220131 has 2 divisors, whose sum is σ = 10102222220132. Its totient is φ = 10102222220130.

The previous prime is 10102222220087. The next prime is 10102222220141. The reversal of 10102222220131 is 13102222220101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10102222220131 - 2¹⁹ = 10102221695843 is a prime.

It is a super-2 number, since 2×10102222220131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102222220099 and 10102222220108.

It is not a weakly prime, because it can be changed into another prime (10102222220141) 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, 5051111110065 + 5051111110066.

It is an arithmetic number, because the mean of its divisors is an integer number (5051111110066).

Almost surely, 2^{10102222220131} is an apocalyptic number.

10102222220131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102222220131 is an equidigital number, since it uses as much as digits as its factorization.

10102222220131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10102222220131 its reverse (13102222220101), we get a palindrome (23204444440232).

The spelling of 10102222220131 in words is "ten trillion, one hundred two billion, two hundred twenty-two million, two hundred twenty thousand, one hundred thirty-one".