100202401 has 16 divisors (see below), whose sum is σ = 113552208. Its totient is φ = 87782400.

The previous prime is 100202393. The next prime is 100202413. The reversal of 100202401 is 104202001.

It can be written as a sum of positive squares in 8 ways, for example, as 19184400 + 81018001 = 4380^2 + 9001^2 .

It is a cyclic number.

It is not a de Polignac number, because 100202401 - 2³ = 100202393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100202461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17181 + ... + 22261.

It is an arithmetic number, because the mean of its divisors is an integer number (7097013).

Almost surely, 2^100202401 is an apocalyptic number.

It is an amenable number.

100202401 is a deficient number, since it is larger than the sum of its proper divisors (13349807).

100202401 is a wasteful number, since it uses less digits than its factorization.

100202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172.

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

The square root of 100202401 is about 10010.1149344051. The cubic root of 100202401 is about 464.4718263967.

Adding to 100202401 its reverse (104202001), we get a palindrome (204404402).

It can be divided in two parts, 10020 and 2401, that added together give a palindrome (12421).

The spelling of 100202401 in words is "one hundred million, two hundred two thousand, four hundred one".