10100000110011 has 64 divisors (see below), whose sum is σ = 15706200001536. Its totient is φ = 5654554214400.

The previous prime is 10100000109961. The next prime is 10100000110019. The reversal of 10100000110011 is 11001100000101.

It is not a de Polignac number, because 10100000110011 - 2¹⁰ = 10100000108987 is a prime.

10100000110011 is a modest number, since divided by 110011 gives 101000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10100000110019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79828581 + ... + 79955001.

It is an arithmetic number, because the mean of its divisors is an integer number (245409375024).

Almost surely, 2^{10100000110011} is an apocalyptic number.

10100000110011 is a deficient number, since it is larger than the sum of its proper divisors (5606199891525).

10100000110011 is a wasteful number, since it uses less digits than its factorization.

10100000110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126932.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10100000110011 its reverse (11001100000101), we get a palindrome (21101100110112).

The spelling of 10100000110011 in words is "ten trillion, one hundred billion, one hundred ten thousand, eleven".