10200222102101 has 2 divisors, whose sum is σ = 10200222102102. Its totient is φ = 10200222102100.

The previous prime is 10200222102073. The next prime is 10200222102149. The reversal of 10200222102101 is 10120122200201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9505289794225 + 694932307876 = 3083065^2 + 833626^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200222102101 - 2³⁰ = 10199148360277 is a prime.

It is a super-2 number, since 2×10200222102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200222101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100111051050 + 5100111051051.

It is an arithmetic number, because the mean of its divisors is an integer number (5100111051051).

Almost surely, 2^{10200222102101} is an apocalyptic number.

It is an amenable number.

10200222102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200222102101 is an equidigital number, since it uses as much as digits as its factorization.

10200222102101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10200222102101 its reverse (10120122200201), we get a palindrome (20320344302302).

The spelling of 10200222102101 in words is "ten trillion, two hundred billion, two hundred twenty-two million, one hundred two thousand, one hundred one".