100100312103 has 32 divisors (see below), whose sum is σ = 150196315392. Its totient is φ = 58781606400.

The previous prime is 100100312089. The next prime is 100100312111. The reversal of 100100312103 is 301213001001.

It is not a de Polignac number, because 100100312103 - 2⁴ = 100100312087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100312183) 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 31 ways as a sum of consecutive naturals, for example, 236226 + ... + 505967.

It is an arithmetic number, because the mean of its divisors is an integer number (4693634856).

Almost surely, 2^100100312103 is an apocalyptic number.

100100312103 is a deficient number, since it is larger than the sum of its proper divisors (50096003289).

100100312103 is a wasteful number, since it uses less digits than its factorization.

100100312103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742335.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100100312103 its reverse (301213001001), we get a palindrome (401313313104).

The spelling of 100100312103 in words is "one hundred billion, one hundred million, three hundred twelve thousand, one hundred three".