100010000011103 has 16 divisors (see below), whose sum is σ = 123089468099136. Its totient is φ = 79128638657280.

The previous prime is 100010000011093. The next prime is 100010000011111. The reversal of 100010000011103 is 301110000010001.

It is a cyclic number.

It is not a de Polignac number, because 100010000011103 - 2⁸ = 100010000010847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010000011153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81878075 + ... + 83090547.

It is an arithmetic number, because the mean of its divisors is an integer number (7693091756196).

Almost surely, 2^{100010000011103} is an apocalyptic number.

100010000011103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100010000011103 is a deficient number, since it is larger than the sum of its proper divisors (23079468088033).

100010000011103 is a wasteful number, since it uses less digits than its factorization.

100010000011103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118914.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100010000011103 its reverse (301110000010001), we get a palindrome (401120000021104).

The spelling of 100010000011103 in words is "one hundred trillion, ten billion, eleven thousand, one hundred three".