10002100110011 has 2 divisors, whose sum is σ = 10002100110012. Its totient is φ = 10002100110010.

The previous prime is 10002100110007. The next prime is 10002100110083. The reversal of 10002100110011 is 11001100120001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10002100110011 - 2² = 10002100110007 is a prime.

It is a super-2 number, since 2×10002100110011² (a number of 27 digits) contains 22 as substring.

10002100110011 is a modest number, since divided by 110011 gives 100021 as remainder.

It is not a weakly prime, because it can be changed into another prime (10002100110811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001050055005 + 5001050055006.

It is an arithmetic number, because the mean of its divisors is an integer number (5001050055006).

Almost surely, 2^{10002100110011} is an apocalyptic number.

10002100110011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002100110011 is an equidigital number, since it uses as much as digits as its factorization.

10002100110011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10002100110011 its reverse (11001100120001), we get a palindrome (21003200230012).

The spelling of 10002100110011 in words is "ten trillion, two billion, one hundred million, one hundred ten thousand, eleven".