100201641 has 32 divisors (see below), whose sum is σ = 145566720. Its totient is φ = 61152000.

The previous prime is 100201571. The next prime is 100201657. The reversal of 100201641 is 146102001.

It is not a de Polignac number, because 100201641 - 2²⁵ = 66647209 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100201641.

It is not an unprimeable number, because it can be changed into a prime (100201681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142591 + ... + 143291.

It is an arithmetic number, because the mean of its divisors is an integer number (4548960).

Almost surely, 2^100201641 is an apocalyptic number.

It is an amenable number.

100201641 is a deficient number, since it is larger than the sum of its proper divisors (45365079).

100201641 is a wasteful number, since it uses less digits than its factorization.

100201641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100201641 is about 10010.0769727310. The cubic root of 100201641 is about 464.4706521085.

Adding to 100201641 its reverse (146102001), we get a palindrome (246303642).

The spelling of 100201641 in words is "one hundred million, two hundred one thousand, six hundred forty-one".