101111000100011 has 16 divisors (see below), whose sum is σ = 112881717408768. Its totient is φ = 89770600231200.

The previous prime is 101111000099981. The next prime is 101111000100017. The reversal of 101111000100011 is 110001000111101.

It is a cyclic number.

It is not a de Polignac number, because 101111000100011 - 2¹⁸ = 101110999837867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111000100017) 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 15 ways as a sum of consecutive naturals, for example, 8977880 + ... + 16817381.

It is an arithmetic number, because the mean of its divisors is an integer number (7055107338048).

Almost surely, 2^{101111000100011} is an apocalyptic number.

101111000100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101111000100011 is a deficient number, since it is larger than the sum of its proper divisors (11770717308757).

101111000100011 is a wasteful number, since it uses less digits than its factorization.

101111000100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25803602.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101111000100011 its reverse (110001000111101), we get a palindrome (211112000211112).

The spelling of 101111000100011 in words is "one hundred one trillion, one hundred eleven billion, one hundred thousand, eleven".