101100000100011 has 64 divisors (see below), whose sum is σ = 152404617830400. Its totient is φ = 59092933161600.

The previous prime is 101100000099983. The next prime is 101100000100013. The reversal of 101100000100011 is 110001000001101.

It is not a de Polignac number, because 101100000100011 - 2¹¹ = 101100000097963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100000100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22055356 + ... + 26241926.

It is an arithmetic number, because the mean of its divisors is an integer number (2381322153600).

Almost surely, 2^{101100000100011} is an apocalyptic number.

101100000100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101100000100011 is a deficient number, since it is larger than the sum of its proper divisors (51304617730389).

101100000100011 is a wasteful number, since it uses less digits than its factorization.

101100000100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186880.

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

Adding to 101100000100011 its reverse (110001000001101), we get a palindrome (211101000101112).

The spelling of 101100000100011 in words is "one hundred one trillion, one hundred billion, one hundred thousand, eleven".