10018121622361 has 2 divisors, whose sum is σ = 10018121622362. Its totient is φ = 10018121622360.

The previous prime is 10018121622329. The next prime is 10018121622391. The reversal of 10018121622361 is 16322612181001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7721623845961 + 2296497776400 = 2778781^2 + 1515420^2 .

It is a cyclic number.

It is not a de Polignac number, because 10018121622361 - 2⁵ = 10018121622329 is a prime.

It is a super-3 number, since 3×10018121622361³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10018121622391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5009060811180 + 5009060811181.

It is an arithmetic number, because the mean of its divisors is an integer number (5009060811181).

Almost surely, 2^{10018121622361} is an apocalyptic number.

It is an amenable number.

10018121622361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10018121622361 is an equidigital number, since it uses as much as digits as its factorization.

10018121622361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 10018121622361 in words is "ten trillion, eighteen billion, one hundred twenty-one million, six hundred twenty-two thousand, three hundred sixty-one".