100110010111011 has 24 divisors (see below), whose sum is σ = 145254745359360. Its totient is φ = 66439373944176.

The previous prime is 100110010110983. The next prime is 100110010111031. The reversal of 100110010111011 is 110111010011001.

It is not a de Polignac number, because 100110010111011 - 2³⁰ = 100108936369187 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 = 100110010110984 and 100110010111002.

It is not an unprimeable number, because it can be changed into a prime (100110010111031) 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, 103600090 + ... + 104561936.

It is an arithmetic number, because the mean of its divisors is an integer number (6052281056640).

Almost surely, 2^{100110010111011} is an apocalyptic number.

100110010111011 is a deficient number, since it is larger than the sum of its proper divisors (45144735248349).

100110010111011 is a wasteful number, since it uses less digits than its factorization.

100110010111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013935 (or 1013932 counting only the distinct ones).

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

Adding to 100110010111011 its reverse (110111010011001), we get a palindrome (210221020122012).

The spelling of 100110010111011 in words is "one hundred trillion, one hundred ten billion, ten million, one hundred eleven thousand, eleven".