100212120020103 has 64 divisors (see below), whose sum is σ = 169639306798080. Its totient is φ = 51203947502592.

The previous prime is 100212120020063. The next prime is 100212120020113. The reversal of 100212120020103 is 301020021212001.

It is not a de Polignac number, because 100212120020103 - 2¹⁰ = 100212120019079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212120020113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19559518 + ... + 24145371.

It is an arithmetic number, because the mean of its divisors is an integer number (2650614168720).

Almost surely, 2^{100212120020103} is an apocalyptic number.

100212120020103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100212120020103 is a deficient number, since it is larger than the sum of its proper divisors (69427186777977).

100212120020103 is a wasteful number, since it uses less digits than its factorization.

100212120020103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43705176.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100212120020103 its reverse (301020021212001), we get a palindrome (401232141232104).

The spelling of 100212120020103 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty million, twenty thousand, one hundred three".