100103203213101 has 96 divisors (see below), whose sum is σ = 160696488176640. Its totient is φ = 59534620051200.

The previous prime is 100103203213063. The next prime is 100103203213109. The reversal of 100103203213101 is 101312302301001.

100103203213101 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 32 + 0 + 321 + 310 + 1 = 666.

It is not a de Polignac number, because 100103203213101 - 2⁹ = 100103203212589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103203213109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8744923360 + ... + 8744934806.

It is an arithmetic number, because the mean of its divisors is an integer number (1673921751840).

Almost surely, 2^{100103203213101} is an apocalyptic number.

100103203213101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100103203213101 is a deficient number, since it is larger than the sum of its proper divisors (60593284963539).

100103203213101 is a wasteful number, since it uses less digits than its factorization.

100103203213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14047 (or 14044 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100103203213101 its reverse (101312302301001), we get a palindrome (201415505514102).

The spelling of 100103203213101 in words is "one hundred trillion, one hundred three billion, two hundred three million, two hundred thirteen thousand, one hundred one".