10221009839857 has 2 divisors, whose sum is σ = 10221009839858. Its totient is φ = 10221009839856.

The previous prime is 10221009839767. The next prime is 10221009839917. The reversal of 10221009839857 is 75893890012201.

It is a happy number.

10221009839857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9824363059456 + 396646780401 = 3134384^2 + 629799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10221009839857 is a prime.

It is a super-3 number, since 3×10221009839857³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221009839798 and 10221009839807.

It is not a weakly prime, because it can be changed into another prime (10221009539857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110504919928 + 5110504919929.

It is an arithmetic number, because the mean of its divisors is an integer number (5110504919929).

Almost surely, 2^{10221009839857} is an apocalyptic number.

It is an amenable number.

10221009839857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221009839857 is an equidigital number, since it uses as much as digits as its factorization.

10221009839857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2177280, while the sum is 55.

The spelling of 10221009839857 in words is "ten trillion, two hundred twenty-one billion, nine million, eight hundred thirty-nine thousand, eight hundred fifty-seven".