100201311 has 24 divisors (see below), whose sum is σ = 165834240. Its totient is φ = 57111696.

The previous prime is 100201303. The next prime is 100201337. The reversal of 100201311 is 113102001.

It is not a de Polignac number, because 100201311 - 2³ = 100201303 is a prime.

It is a super-2 number, since 2×100201311² = 20080605452237442, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100201293 and 100201302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25846 + ... + 29468.

It is an arithmetic number, because the mean of its divisors is an integer number (6909760).

Almost surely, 2^100201311 is an apocalyptic number.

100201311 is a deficient number, since it is larger than the sum of its proper divisors (65632929).

100201311 is a wasteful number, since it uses less digits than its factorization.

100201311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4072 counting only the distinct ones).

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

The square root of 100201311 is about 10010.0604893277. The cubic root of 100201311 is about 464.4701422184.

Adding to 100201311 its reverse (113102001), we get a palindrome (213303312).

The spelling of 100201311 in words is "one hundred million, two hundred one thousand, three hundred eleven".