10200122100313 has 2 divisors, whose sum is σ = 10200122100314. Its totient is φ = 10200122100312.

The previous prime is 10200122100269. The next prime is 10200122100331. The reversal of 10200122100313 is 31300122100201.

10200122100313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10200122100331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10200122100169 + 144 = 3193763^2 + 12^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200122100313 is a prime.

It is a super-2 number, since 2×10200122100313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10200122107313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100061050156 + 5100061050157.

It is an arithmetic number, because the mean of its divisors is an integer number (5100061050157).

Almost surely, 2^{10200122100313} is an apocalyptic number.

It is an amenable number.

10200122100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200122100313 is an equidigital number, since it uses as much as digits as its factorization.

10200122100313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10200122100313 its reverse (31300122100201), we get a palindrome (41500244200514).

The spelling of 10200122100313 in words is "ten trillion, two hundred billion, one hundred twenty-two million, one hundred thousand, three hundred thirteen".