102005201 has 8 divisors (see below), whose sum is σ = 102705408. Its totient is φ = 101308000.

The previous prime is 102005191. The next prime is 102005261. The reversal of 102005201 is 102500201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102005201 - 2²² = 97810897 is a prime.

It is a super-2 number, since 2×102005201² = 20810122062100802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102005261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133661 + ... + 134421.

It is an arithmetic number, because the mean of its divisors is an integer number (12838176).

Almost surely, 2^102005201 is an apocalyptic number.

It is an amenable number.

102005201 is a deficient number, since it is larger than the sum of its proper divisors (700207).

102005201 is an equidigital number, since it uses as much as digits as its factorization.

102005201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 102005201 is about 10099.7624229484. The cubic root of 102005201 is about 467.2408141325.

Adding to 102005201 its reverse (102500201), we get a palindrome (204505402).

The spelling of 102005201 in words is "one hundred two million, five thousand, two hundred one".