100010100011 has 2 divisors, whose sum is σ = 100010100012. Its totient is φ = 100010100010.

The previous prime is 100010099983. The next prime is 100010100041. The reversal of 100010100011 is 110001010001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010100011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010099968 and 100010100004.

It is not a weakly prime, because it can be changed into another prime (100010100041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050005 + 50005050006.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050006).

Almost surely, 2^100010100011 is an apocalyptic number.

100010100011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010100011 is an equidigital number, since it uses as much as digits as its factorization.

100010100011 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100010100011 its reverse (110001010001), we get a palindrome (210011110012).

The spelling of 100010100011 in words is "one hundred billion, ten million, one hundred thousand, eleven".