10122102102221 has 2 divisors, whose sum is σ = 10122102102222. Its totient is φ = 10122102102220.

The previous prime is 10122102102191. The next prime is 10122102102241. The reversal of 10122102102221 is 12220120122101.

10122102102221 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., 10055171238121 + 66930864100 = 3170989^2 + 258710^2 .

It is an emirp because it is prime and its reverse (12220120122101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10122102102221 - 2²² = 10122097907917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10122102102221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122102102241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061051051110 + 5061051051111.

It is an arithmetic number, because the mean of its divisors is an integer number (5061051051111).

Almost surely, 2^{10122102102221} is an apocalyptic number.

It is an amenable number.

10122102102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122102102221 is an equidigital number, since it uses as much as digits as its factorization.

10122102102221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10122102102221 its reverse (12220120122101), we get a palindrome (22342222224322).

The spelling of 10122102102221 in words is "ten trillion, one hundred twenty-two billion, one hundred two million, one hundred two thousand, two hundred twenty-one".