10001100100011 has 48 divisors (see below), whose sum is σ = 14822685021024. Its totient is φ = 5990399041536.

The previous prime is 10001100099997. The next prime is 10001100100067. The reversal of 10001100100011 is 11000100110001.

It is not a de Polignac number, because 10001100100011 - 2⁵ = 10001100099979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001100100081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240990 + ... + 4641363.

It is an arithmetic number, because the mean of its divisors is an integer number (308805937938).

Almost surely, 2^{10001100100011} is an apocalyptic number.

10001100100011 is a deficient number, since it is larger than the sum of its proper divisors (4821584921013).

10001100100011 is a wasteful number, since it uses less digits than its factorization.

10001100100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882480 (or 5882463 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001100100011 its reverse (11000100110001), we get a palindrome (21001200210012).

It can be divided in two parts, 10001100 and 100011, that multiplied together give a square (1000220012100 = 1000110²).

The spelling of 10001100100011 in words is "ten trillion, one billion, one hundred million, one hundred thousand, eleven".