10102101222221 has 2 divisors, whose sum is σ = 10102101222222. Its totient is φ = 10102101222220.

The previous prime is 10102101222211. The next prime is 10102101222253. The reversal of 10102101222221 is 12222210120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10100071719721 + 2029502500 = 3178061^2 + 45050^2 .

It is an emirp because it is prime and its reverse (12222210120101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10102101222221 - 2³⁴ = 10084921353037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102101222221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102101222211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051050611110 + 5051050611111.

It is an arithmetic number, because the mean of its divisors is an integer number (5051050611111).

Almost surely, 2^{10102101222221} is an apocalyptic number.

It is an amenable number.

10102101222221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102101222221 is an equidigital number, since it uses as much as digits as its factorization.

10102101222221 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 10102101222221 its reverse (12222210120101), we get a palindrome (22324311342322).

The spelling of 10102101222221 in words is "ten trillion, one hundred two billion, one hundred one million, two hundred twenty-two thousand, two hundred twenty-one".