100122321101 has 8 divisors (see below), whose sum is σ = 109271195424. Its totient is φ = 90981254320.

The previous prime is 100122321031. The next prime is 100122321113. The reversal of 100122321101 is 101123221001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100122321101 - 2³⁰ = 99048579277 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 (100122321181) 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 7 ways as a sum of consecutive naturals, for example, 1925051 + ... + 1976376.

It is an arithmetic number, because the mean of its divisors is an integer number (13658899428).

Almost surely, 2^100122321101 is an apocalyptic number.

100122321101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122321101 is a deficient number, since it is larger than the sum of its proper divisors (9148874323).

100122321101 is a wasteful number, since it uses less digits than its factorization.

100122321101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903771.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100122321101 its reverse (101123221001), we get a palindrome (201245542102).

The spelling of 100122321101 in words is "one hundred billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred one".