102202201 has 2 divisors, whose sum is σ = 102202202. Its totient is φ = 102202200.

The previous prime is 102202189. The next prime is 102202211.

102202201 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (102202211) can be obtained adding 102202201 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75690000 + 26512201 = 8700^2 + 5149^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 102202201 - 2¹⁵ = 102169433 is a prime.

It is not a weakly prime, because it can be changed into another prime (102202211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101100 + 51101101.

It is an arithmetic number, because the mean of its divisors is an integer number (51101101).

Almost surely, 2^102202201 is an apocalyptic number.

It is an amenable number.

102202201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202201 is an equidigital number, since it uses as much as digits as its factorization.

102202201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 102202201 is about 10109.5104233588. The cubic root of 102202201 is about 467.5414107274.

It can be divided in two parts, 10220 and 2201, that added together give a palindrome (12421).

The spelling of 102202201 in words is "one hundred two million, two hundred two thousand, two hundred one".