100100333011 has 24 divisors (see below), whose sum is σ = 124424087040. Its totient is φ = 80012282112.

The previous prime is 100100332987. The next prime is 100100333041. The reversal of 100100333011 is 110333001001.

It is a happy number.

It is not a de Polignac number, because 100100333011 - 2⁷ = 100100332883 is a prime.

It is a super-2 number, since 2×100100333011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100332982 and 100100333000.

It is not an unprimeable number, because it can be changed into a prime (100100333041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460435 + ... + 642028.

It is an arithmetic number, because the mean of its divisors is an integer number (5184336960).

Almost surely, 2^100100333011 is an apocalyptic number.

100100333011 is a deficient number, since it is larger than the sum of its proper divisors (24323754029).

100100333011 is a wasteful number, since it uses less digits than its factorization.

100100333011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102603 (or 1102596 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100100333011 its reverse (110333001001), we get a palindrome (210433334012).

The spelling of 100100333011 in words is "one hundred billion, one hundred million, three hundred thirty-three thousand, eleven".