100010100111103 has 72 divisors (see below), whose sum is σ = 135922473997632. Its totient is φ = 72889666569216.

The previous prime is 100010100111029. The next prime is 100010100111109. The reversal of 100010100111103 is 301111001010001.

It is not a de Polignac number, because 100010100111103 - 2¹³ = 100010100102911 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100010100111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100111109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2873025 + ... + 14431717.

It is an arithmetic number, because the mean of its divisors is an integer number (1887812138856).

Almost surely, 2^{100010100111103} is an apocalyptic number.

100010100111103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100010100111103 is a deficient number, since it is larger than the sum of its proper divisors (35912373886529).

100010100111103 is a wasteful number, since it uses less digits than its factorization.

100010100111103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11558801 (or 11558777 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 100010100111103 its reverse (301111001010001), we get a palindrome (401121101121104).

The spelling of 100010100111103 in words is "one hundred trillion, ten billion, one hundred million, one hundred eleven thousand, one hundred three".