101102200210301 has 2 divisors, whose sum is σ = 101102200210302. Its totient is φ = 101102200210300.

The previous prime is 101102200210181. The next prime is 101102200210303. The reversal of 101102200210301 is 103012002201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101088425667076 + 13774543225 = 10054274^2 + 117365^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102200210301 - 2³⁴ = 101085020341117 is a prime.

Together with 101102200210303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101102200210303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551100105150 + 50551100105151.

It is an arithmetic number, because the mean of its divisors is an integer number (50551100105151).

Almost surely, 2^{101102200210301} is an apocalyptic number.

It is an amenable number.

101102200210301 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102200210301 is an equidigital number, since it uses as much as digits as its factorization.

101102200210301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101102200210301 its reverse (103012002201101), we get a palindrome (204114202411402).

The spelling of 101102200210301 in words is "one hundred one trillion, one hundred two billion, two hundred million, two hundred ten thousand, three hundred one".