100332212101 has 16 divisors (see below), whose sum is σ = 114670430208. Its totient is φ = 86951343600.

The previous prime is 100332212087. The next prime is 100332212107. The reversal of 100332212101 is 101212233001.

It is not a de Polignac number, because 100332212101 - 2²⁹ = 99795341189 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 (100332212107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2172895 + ... + 2218588.

It is an arithmetic number, because the mean of its divisors is an integer number (7166901888).

Almost surely, 2^100332212101 is an apocalyptic number.

100332212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100332212101 is a deficient number, since it is larger than the sum of its proper divisors (14338218107).

100332212101 is a wasteful number, since it uses less digits than its factorization.

100332212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391592.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100332212101 its reverse (101212233001), we get a palindrome (201544445102).

The spelling of 100332212101 in words is "one hundred billion, three hundred thirty-two million, two hundred twelve thousand, one hundred one".