100213102103 has 48 divisors (see below), whose sum is σ = 113319730080. Its totient is φ = 88245780480.

The previous prime is 100213102063. The next prime is 100213102139. The reversal of 100213102103 is 301201312001.

It is not a de Polignac number, because 100213102103 - 2⁸ = 100213101847 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213102163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116662088 + ... + 116662946.

It is an arithmetic number, because the mean of its divisors is an integer number (2360827710).

Almost surely, 2^100213102103 is an apocalyptic number.

100213102103 is a deficient number, since it is larger than the sum of its proper divisors (13106627977).

100213102103 is a wasteful number, since it uses less digits than its factorization.

100213102103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100213102103 its reverse (301201312001), we get a palindrome (401414414104).

The spelling of 100213102103 in words is "one hundred billion, two hundred thirteen million, one hundred two thousand, one hundred three".