10102221122221 has 2 divisors, whose sum is σ = 10102221122222. Its totient is φ = 10102221122220.

The previous prime is 10102221122197. The next prime is 10102221122237. The reversal of 10102221122221 is 12222112220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10083076248996 + 19144873225 = 3175386^2 + 138365^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102221122221 - 2³⁹ = 9552465308333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102221122281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051110561110 + 5051110561111.

It is an arithmetic number, because the mean of its divisors is an integer number (5051110561111).

Almost surely, 2^{10102221122221} is an apocalyptic number.

It is an amenable number.

10102221122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102221122221 is an equidigital number, since it uses as much as digits as its factorization.

10102221122221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10102221122221 its reverse (12222112220101), we get a palindrome (22324333342322).

The spelling of 10102221122221 in words is "ten trillion, one hundred two billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".