10102202021201 has 2 divisors, whose sum is σ = 10102202021202. Its totient is φ = 10102202021200.

The previous prime is 10102202021173. The next prime is 10102202021203. The reversal of 10102202021201 is 10212020220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8135181746176 + 1967020275025 = 2852224^2 + 1402505^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102202021201 - 2¹⁰ = 10102202020177 is a prime.

Together with 10102202021203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10102202021203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051101010600 + 5051101010601.

It is an arithmetic number, because the mean of its divisors is an integer number (5051101010601).

Almost surely, 2^{10102202021201} is an apocalyptic number.

It is an amenable number.

10102202021201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102202021201 is an equidigital number, since it uses as much as digits as its factorization.

10102202021201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10102202021201 its reverse (10212020220101), we get a palindrome (20314222241302).

The spelling of 10102202021201 in words is "ten trillion, one hundred two billion, two hundred two million, twenty-one thousand, two hundred one".