100101121103 has 4 divisors (see below), whose sum is σ = 100329142320. Its totient is φ = 99873099888.

The previous prime is 100101121069. The next prime is 100101121139. The reversal of 100101121103 is 301121101001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 301121101001 = 7 ⋅43017300143.

It is a cyclic number.

It is not a de Polignac number, because 100101121103 - 2⁶ = 100101121039 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 (100101121903) 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 3 ways as a sum of consecutive naturals, for example, 114009950 + ... + 114010827.

It is an arithmetic number, because the mean of its divisors is an integer number (25082285580).

Almost surely, 2^100101121103 is an apocalyptic number.

100101121103 is a deficient number, since it is larger than the sum of its proper divisors (228021217).

100101121103 is an equidigital number, since it uses as much as digits as its factorization.

100101121103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228021216.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100101121103 its reverse (301121101001), we get a palindrome (401222222104).

The spelling of 100101121103 in words is "one hundred billion, one hundred one million, one hundred twenty-one thousand, one hundred three".