100100011010011 has 16 divisors (see below), whose sum is σ = 103162796674560. Its totient is φ = 97066894899520.

The previous prime is 100100011009987. The next prime is 100100011010029. The reversal of 100100011010011 is 110010110001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100100011010011 - 2¹³ = 100100011001819 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100011009976 and 100100011010003.

It is not an unprimeable number, because it can be changed into a prime (100100011013011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97586760 + ... + 98607178.

It is an arithmetic number, because the mean of its divisors is an integer number (6447674792160).

Almost surely, 2^{100100011010011} is an apocalyptic number.

100100011010011 is a deficient number, since it is larger than the sum of its proper divisors (3062785664549).

100100011010011 is a wasteful number, since it uses less digits than its factorization.

100100011010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034954.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100100011010011 its reverse (110010110001001), we get a palindrome (210110121011012).

The spelling of 100100011010011 in words is "one hundred trillion, one hundred billion, eleven million, ten thousand, eleven".