10010111105021 has 2 divisors, whose sum is σ = 10010111105022. Its totient is φ = 10010111105020.

The previous prime is 10010111104993. The next prime is 10010111105047. The reversal of 10010111105021 is 12050111101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9155096496121 + 855014608900 = 3025739^2 + 924670^2 .

It is an emirp because it is prime and its reverse (12050111101001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010111105021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010111104987 and 10010111105005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010111135021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005055552510 + 5005055552511.

It is an arithmetic number, because the mean of its divisors is an integer number (5005055552511).

Almost surely, 2^{10010111105021} is an apocalyptic number.

It is an amenable number.

10010111105021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010111105021 is an equidigital number, since it uses as much as digits as its factorization.

10010111105021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10, while the sum is 14.

Adding to 10010111105021 its reverse (12050111101001), we get a palindrome (22060222206022).

The spelling of 10010111105021 in words is "ten trillion, ten billion, one hundred eleven million, one hundred five thousand, twenty-one".