100100010011 has 16 divisors (see below), whose sum is σ = 110725429248. Its totient is φ = 90074179200.

The previous prime is 100100009993. The next prime is 100100010047. The reversal of 100100010011 is 110010001001.

It is a cyclic number.

It is not a de Polignac number, because 100100010011 - 2¹⁴ = 100099993627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100009977 and 100100010004.

It is not an unprimeable number, because it can be changed into a prime (100100010611) 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, 1100495 + ... + 1187976.

It is an arithmetic number, because the mean of its divisors is an integer number (6920339328).

Almost surely, 2^100100010011 is an apocalyptic number.

100100010011 is a deficient number, since it is larger than the sum of its proper divisors (10625419237).

100100010011 is a wasteful number, since it uses less digits than its factorization.

100100010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288602.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100010011 its reverse (110010001001), we get a palindrome (210110011012).

The spelling of 100100010011 in words is "one hundred billion, one hundred million, ten thousand, eleven".