10000100100011 has 16 divisors (see below), whose sum is σ = 11465979452928. Its totient is φ = 8543546779200.

The previous prime is 10000100099981. The next prime is 10000100100037. The reversal of 10000100100011 is 11000100100001.

It is a cyclic number.

It is not a de Polignac number, because 10000100100011 - 2³⁰ = 9999026358187 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000100099968 and 10000100100004.

It is not an unprimeable number, because it can be changed into a prime (10000100100071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51194816 + ... + 51389778.

It is an arithmetic number, because the mean of its divisors is an integer number (716623715808).

Almost surely, 2^{10000100100011} is an apocalyptic number.

10000100100011 is a deficient number, since it is larger than the sum of its proper divisors (1465879352917).

10000100100011 is a wasteful number, since it uses less digits than its factorization.

10000100100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218842.

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

Adding to 10000100100011 its reverse (11000100100001), we get a palindrome (21000200200012).

The spelling of 10000100100011 in words is "ten trillion, one hundred million, one hundred thousand, eleven".