102201202102201 has 2 divisors, whose sum is σ = 102201202102202. Its totient is φ = 102201202102200.

The previous prime is 102201202102193. The next prime is 102201202102217.

It is a happy number.

102201202102201 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (102201202102217) can be obtained adding 102201202102201 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93659348306176 + 8541853796025 = 9677776^2 + 2922645^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 102201202102201 - 2³ = 102201202102193 is a prime.

It is a super-2 number, since 2×102201202102201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102201202102231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100601051100 + 51100601051101.

It is an arithmetic number, because the mean of its divisors is an integer number (51100601051101).

Almost surely, 2^{102201202102201} is an apocalyptic number.

It is an amenable number.

102201202102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201202102201 is an equidigital number, since it uses as much as digits as its factorization.

102201202102201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 10220120 and 2102201, that added together give a palindrome (12322321).

The spelling of 102201202102201 in words is "one hundred two trillion, two hundred one billion, two hundred two million, one hundred two thousand, two hundred one".