100102201 has 8 divisors (see below), whose sum is σ = 101372040. Its totient is φ = 98840448.

The previous prime is 100102181. The next prime is 100102207. The reversal of 100102201 is 102201001.

It can be written as a sum of positive squares in 4 ways, for example, as 35283600 + 64818601 = 5940^2 + 8051^2 .

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 100102201 - 2⁵ = 100102169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25135 + ... + 28843.

It is an arithmetic number, because the mean of its divisors is an integer number (12671505).

Almost surely, 2^100102201 is an apocalyptic number.

It is an amenable number.

100102201 is a deficient number, since it is larger than the sum of its proper divisors (1269839).

100102201 is a wasteful number, since it uses less digits than its factorization.

100102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 100102201 is about 10005.1087450362. The cubic root of 100102201 is about 464.3169545302.

Adding to 100102201 its reverse (102201001), we get a palindrome (202303202).

The spelling of 100102201 in words is "one hundred million, one hundred two thousand, two hundred one".