10100111110011 has 24 divisors (see below), whose sum is σ = 15711688902000. Its totient is φ = 6215292789696.

The previous prime is 10100111110009. The next prime is 10100111110043. The reversal of 10100111110011 is 11001111100101.

It is not a de Polignac number, because 10100111110011 - 2¹ = 10100111110009 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 = 10100111109975 and 10100111110002.

It is not an unprimeable number, because it can be changed into a prime (10100111110051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3528625 + ... + 5714141.

It is an arithmetic number, because the mean of its divisors is an integer number (654653704250).

Almost surely, 2^{10100111110011} is an apocalyptic number.

10100111110011 is a deficient number, since it is larger than the sum of its proper divisors (5611577791989).

10100111110011 is a wasteful number, since it uses less digits than its factorization.

10100111110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225035 (or 2225032 counting only the distinct ones).

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

Adding to 10100111110011 its reverse (11001111100101), we get a palindrome (21101222210112).

The spelling of 10100111110011 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred ten thousand, eleven".