101000110011 has 16 divisors (see below), whose sum is σ = 138900082464. Its totient is φ = 65232393984.

The previous prime is 101000109983. The next prime is 101000110019. The reversal of 101000110011 is 110011000101.

It is not a de Polignac number, because 101000110011 - 2¹⁸ = 100999847867 is a prime.

101000110011 is a modest number, since divided by 110011 gives 1010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101000110019) 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, 1926736 + ... + 1978461.

It is an arithmetic number, because the mean of its divisors is an integer number (8681255154).

Almost surely, 2^101000110011 is an apocalyptic number.

101000110011 is a deficient number, since it is larger than the sum of its proper divisors (37899972453).

101000110011 is a wasteful number, since it uses less digits than its factorization.

101000110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905470.

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

Adding to 101000110011 its reverse (110011000101), we get a palindrome (211011110112).

The spelling of 101000110011 in words is "one hundred one billion, one hundred ten thousand, eleven".