100033332101 has 8 divisors (see below), whose sum is σ = 105924020760. Its totient is φ = 94143351808.

The previous prime is 100033332079. The next prime is 100033332137. The reversal of 100033332101 is 101233330001.

It can be written as a sum of positive squares in 4 ways, for example, as 37220441476 + 62812890625 = 192926^2 + 250625^2 .

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

It is not a de Polignac number, because 100033332101 - 2¹⁰ = 100033331077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100033332101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100033332181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128765 + ... + 465453.

It is an arithmetic number, because the mean of its divisors is an integer number (13240502595).

Almost surely, 2^100033332101 is an apocalyptic number.

It is an amenable number.

100033332101 is a deficient number, since it is larger than the sum of its proper divisors (5890688659).

100033332101 is a wasteful number, since it uses less digits than its factorization.

100033332101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354183.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 100033332101 its reverse (101233330001), we get a palindrome (201266662102).

The spelling of 100033332101 in words is "one hundred billion, thirty-three million, three hundred thirty-two thousand, one hundred one".