10100006011 has 2 divisors, whose sum is σ = 10100006012. Its totient is φ = 10100006010.

The previous prime is 10100005991. The next prime is 10100006029. The reversal of 10100006011 is 11060000101.

10100006011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (11060000101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 11090000101 and 10100009011.

It is a cyclic number.

It is not a de Polignac number, because 10100006011 - 2¹⁵ = 10099973243 is a prime.

It is a super-2 number, since 2×10100006011² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100006041) 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 as a sum of consecutive naturals, namely, 5050003005 + 5050003006.

It is an arithmetic number, because the mean of its divisors is an integer number (5050003006).

Almost surely, 2^10100006011 is an apocalyptic number.

10100006011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100006011 is an equidigital number, since it uses as much as digits as its factorization.

10100006011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10100006011 its reverse (11060000101), we get a palindrome (21160006112).

The spelling of 10100006011 in words is "ten billion, one hundred million, six thousand, eleven".