100033011 has 24 divisors (see below), whose sum is σ = 157496976. Its totient is φ = 60811200.

The previous prime is 100033009. The next prime is 100033013. The reversal of 100033011 is 110330001.

It is an interprime number because it is at equal distance from previous prime (100033009) and next prime (100033013).

It is not a de Polignac number, because 100033011 - 2¹ = 100033009 is a prime.

It is a super-2 number, since 2×100033011² = 20013206579452242, 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 = 100032984 and 100033002.

It is not an unprimeable number, because it can be changed into a prime (100033013) 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 23 ways as a sum of consecutive naturals, for example, 4561 + ... + 14861.

It is an arithmetic number, because the mean of its divisors is an integer number (6562374).

Almost surely, 2^100033011 is an apocalyptic number.

100033011 is a deficient number, since it is larger than the sum of its proper divisors (57463965).

100033011 is a wasteful number, since it uses less digits than its factorization.

100033011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10403 (or 10400 counting only the distinct ones).

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

The square root of 100033011 is about 10001.6504138067. The cubic root of 100033011 is about 464.2099522386.

Adding to 100033011 its reverse (110330001), we get a palindrome (210363012).

The spelling of 100033011 in words is "one hundred million, thirty-three thousand, eleven".