10212102200101 has 2 divisors, whose sum is σ = 10212102200102. Its totient is φ = 10212102200100.

The previous prime is 10212102200099. The next prime is 10212102200143. The reversal of 10212102200101 is 10100220121201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9490256551876 + 721845648225 = 3080626^2 + 849615^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212102200101 - 2¹ = 10212102200099 is a prime.

Together with 10212102200099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212102200501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106051100050 + 5106051100051.

It is an arithmetic number, because the mean of its divisors is an integer number (5106051100051).

Almost surely, 2^{10212102200101} is an apocalyptic number.

It is an amenable number.

10212102200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212102200101 is an equidigital number, since it uses as much as digits as its factorization.

10212102200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10212102200101 its reverse (10100220121201), we get a palindrome (20312322321302).

The spelling of 10212102200101 in words is "ten trillion, two hundred twelve billion, one hundred two million, two hundred thousand, one hundred one".