100110011110011 has 48 divisors (see below), whose sum is σ = 167557836526080. Its totient is φ = 56415260816640.

The previous prime is 100110011109949. The next prime is 100110011110049. The reversal of 100110011110011 is 110011110011001.

It is not a de Polignac number, because 100110011110011 - 2⁶ = 100110011109947 is a prime.

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 = 100110011109975 and 100110011110002.

It is not an unprimeable number, because it can be changed into a prime (100110011118011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30443721 + ... + 33571418.

It is an arithmetic number, because the mean of its divisors is an integer number (3490788260960).

Almost surely, 2^{100110011110011} is an apocalyptic number.

100110011110011 is a deficient number, since it is larger than the sum of its proper divisors (67447825416069).

100110011110011 is a wasteful number, since it uses less digits than its factorization.

100110011110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64015496 (or 64015493 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100110011110011 its reverse (110011110011001), we get a palindrome (210121121121012).

The spelling of 100110011110011 in words is "one hundred trillion, one hundred ten billion, eleven million, one hundred ten thousand, eleven".