100938201 has 32 divisors (see below), whose sum is σ = 170999808. Its totient is φ = 51520320.

The previous prime is 100938199. The next prime is 100938217. The reversal of 100938201 is 102839001.

It is not a de Polignac number, because 100938201 - 2¹ = 100938199 is a prime.

It is a super-2 number, since 2×100938201² = 20377040842232802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100938601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2500 + ... + 14426.

It is an arithmetic number, because the mean of its divisors is an integer number (5343744).

Almost surely, 2^100938201 is an apocalyptic number.

It is an amenable number.

100938201 is a deficient number, since it is larger than the sum of its proper divisors (70061607).

100938201 is a wasteful number, since it uses less digits than its factorization.

100938201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11981.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 100938201 is about 10046.8005354939. The cubic root of 100938201 is about 465.6059483879.

The spelling of 100938201 in words is "one hundred million, nine hundred thirty-eight thousand, two hundred one".