210010010222101 has 2 divisors, whose sum is σ = 210010010222102. Its totient is φ = 210010010222100.

The previous prime is 210010010222063. The next prime is 210010010222113. The reversal of 210010010222101 is 101222010010012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143244752880100 + 66765257342001 = 11968490^2 + 8171001^2 .

It is a cyclic number.

It is not a de Polignac number, because 210010010222101 - 2¹⁷ = 210010010091029 is a prime.

It is a super-2 number, since 2×210010010222101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210010010222191) 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, 105005005111050 + 105005005111051.

It is an arithmetic number, because the mean of its divisors is an integer number (105005005111051).

Almost surely, 2^{210010010222101} is an apocalyptic number.

It is an amenable number.

210010010222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

210010010222101 is an equidigital number, since it uses as much as digits as its factorization.

210010010222101 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 210010010222101 its reverse (101222010010012), we get a palindrome (311232020232113).

The spelling of 210010010222101 in words is "two hundred ten trillion, ten billion, ten million, two hundred twenty-two thousand, one hundred one".