10220211121013 has 2 divisors, whose sum is σ = 10220211121014. Its totient is φ = 10220211121012.

The previous prime is 10220211120947. The next prime is 10220211121051. The reversal of 10220211121013 is 31012111202201.

It is a happy number.

10220211121013 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., 9697506702724 + 522704418289 = 3114082^2 + 722983^2 .

It is an emirp because it is prime and its reverse (31012111202201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10220211121013 - 2¹² = 10220211116917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220211120982 and 10220211121000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10220211121093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110105560506 + 5110105560507.

It is an arithmetic number, because the mean of its divisors is an integer number (5110105560507).

Almost surely, 2^{10220211121013} is an apocalyptic number.

It is an amenable number.

10220211121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220211121013 is an equidigital number, since it uses as much as digits as its factorization.

10220211121013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10220211121013 its reverse (31012111202201), we get a palindrome (41232322323214).

The spelling of 10220211121013 in words is "ten trillion, two hundred twenty billion, two hundred eleven million, one hundred twenty-one thousand, thirteen".