102402202204201 has 2 divisors, whose sum is σ = 102402202204202. Its totient is φ = 102402202204200.

The previous prime is 102402202204199. The next prime is 102402202204231.

102402202204201 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63824935880601 + 38577266323600 = 7989051^2 + 6211060^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 102402202204201 - 2¹ = 102402202204199 is a prime.

It is a super-3 number, since 3×102402202204201³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 102402202204199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102402202204231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51201101102100 + 51201101102101.

It is an arithmetic number, because the mean of its divisors is an integer number (51201101102101).

Almost surely, 2^{102402202204201} is an apocalyptic number.

It is an amenable number.

102402202204201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102402202204201 is an equidigital number, since it uses as much as digits as its factorization.

102402202204201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 10240220 and 2204201, that added together give a palindrome (12444421).

The spelling of 102402202204201 in words is "one hundred two trillion, four hundred two billion, two hundred two million, two hundred four thousand, two hundred one".