100210133022113 has 2 divisors, whose sum is σ = 100210133022114. Its totient is φ = 100210133022112.

The previous prime is 100210133022049. The next prime is 100210133022133. The reversal of 100210133022113 is 311220331012001.

It is a happy number.

It is an a-pointer prime, because the next prime (100210133022133) can be obtained adding 100210133022113 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81016866877969 + 19193266144144 = 9000937^2 + 4381012^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210133022113 - 2⁶ = 100210133022049 is a prime.

It is not a weakly prime, because it can be changed into another prime (100210133022133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105066511056 + 50105066511057.

It is an arithmetic number, because the mean of its divisors is an integer number (50105066511057).

Almost surely, 2^{100210133022113} is an apocalyptic number.

It is an amenable number.

100210133022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210133022113 is an equidigital number, since it uses as much as digits as its factorization.

100210133022113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100210133022113 its reverse (311220331012001), we get a palindrome (411430464034114).

The spelling of 100210133022113 in words is "one hundred trillion, two hundred ten billion, one hundred thirty-three million, twenty-two thousand, one hundred thirteen".