102838201 has 2 divisors, whose sum is σ = 102838202. Its totient is φ = 102838200.

The previous prime is 102838199. The next prime is 102838213.

102838201 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., 102414400 + 423801 = 10120^2 + 651^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 102838201 - 2¹ = 102838199 is a prime.

Together with 102838199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102838231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51419100 + 51419101.

It is an arithmetic number, because the mean of its divisors is an integer number (51419101).

Almost surely, 2^102838201 is an apocalyptic number.

It is an amenable number.

102838201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102838201 is an equidigital number, since it uses as much as digits as its factorization.

102838201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 102838201 is about 10140.9171675939. The cubic root of 102838201 is about 468.5092360970.

The spelling of 102838201 in words is "one hundred two million, eight hundred thirty-eight thousand, two hundred one".