101000100011 has 16 divisors (see below), whose sum is σ = 102290192928. Its totient is φ = 99720096000.

The previous prime is 101000100007. The next prime is 101000100013. The reversal of 101000100011 is 110001000101.

It is a cyclic number.

It is not a de Polignac number, because 101000100011 - 2² = 101000100007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000099968 and 101000100004.

It is not an unprimeable number, because it can be changed into a prime (101000100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20480216 + ... + 20485146.

It is an arithmetic number, because the mean of its divisors is an integer number (6393137058).

Almost surely, 2^101000100011 is an apocalyptic number.

101000100011 is a deficient number, since it is larger than the sum of its proper divisors (1290092917).

101000100011 is a wasteful number, since it uses less digits than its factorization.

101000100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902.

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

Adding to 101000100011 its reverse (110001000101), we get a palindrome (211001100112).

The spelling of 101000100011 in words is "one hundred one billion, one hundred thousand, eleven".