10002100011 has 32 divisors (see below), whose sum is σ = 13837148160. Its totient is φ = 6422540544.

The previous prime is 10002099979. The next prime is 10002100027. The reversal of 10002100011 is 11000120001.

It is not a de Polignac number, because 10002100011 - 2⁵ = 10002099979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002100081) 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 31 ways as a sum of consecutive naturals, for example, 2832495 + ... + 2836023.

It is an arithmetic number, because the mean of its divisors is an integer number (432410880).

Almost surely, 2^10002100011 is an apocalyptic number.

10002100011 is a deficient number, since it is larger than the sum of its proper divisors (3835048149).

10002100011 is a wasteful number, since it uses less digits than its factorization.

10002100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10002100011 its reverse (11000120001), we get a palindrome (21002220012).

The spelling of 10002100011 in words is "ten billion, two million, one hundred thousand, eleven".