100201131 has 10 divisors (see below), whose sum is σ = 149683292. Its totient is φ = 66800700.

The previous prime is 100201109. The next prime is 100201139. The reversal of 100201131 is 131102001.

It is not a de Polignac number, because 100201131 - 2⁵ = 100201099 is a prime.

It is a super-2 number, since 2×100201131² = 20080533307358322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201139) 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 9 ways as a sum of consecutive naturals, for example, 618445 + ... + 618606.

Almost surely, 2^100201131 is an apocalyptic number.

100201131 is a deficient number, since it is larger than the sum of its proper divisors (49482161).

100201131 is an equidigital number, since it uses as much as digits as its factorization.

100201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237063 (or 1237054 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100201131 is about 10010.0514983690. The cubic root of 100201131 is about 464.4698640960.

Adding to 100201131 its reverse (131102001), we get a palindrome (231303132).

The spelling of 100201131 in words is "one hundred million, two hundred one thousand, one hundred thirty-one".