40321100101 has 16 divisors (see below), whose sum is σ = 41605984368. Its totient is φ = 39057984000.

The previous prime is 40321100093. The next prime is 40321100111. The reversal of 40321100101 is 10100112304.

It can be written as a sum of positive squares in 8 ways, for example, as 70308225 + 40250791876 = 8385^2 + 200626^2 .

It is a cyclic number.

It is not a de Polignac number, because 40321100101 - 2³ = 40321100093 is a prime.

It is a super-2 number, since 2×40321100101² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40321100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3115095 + ... + 3128011.

It is an arithmetic number, because the mean of its divisors is an integer number (2600374023).

Almost surely, 2^40321100101 is an apocalyptic number.

It is an amenable number.

40321100101 is a deficient number, since it is larger than the sum of its proper divisors (1284884267).

40321100101 is a wasteful number, since it uses less digits than its factorization.

40321100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13752.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 40321100101 its reverse (10100112304), we get a palindrome (50421212405).

The spelling of 40321100101 in words is "forty billion, three hundred twenty-one million, one hundred thousand, one hundred one".