101140440233 has 24 divisors (see below), whose sum is σ = 118282887432. Its totient is φ = 86228803584.

The previous prime is 101140440209. The next prime is 101140440239. The reversal of 101140440233 is 332044041101.

It can be written as a sum of positive squares in 4 ways, for example, as 80626466704 + 20513973529 = 283948^2 + 143227^2 .

It is not a de Polignac number, because 101140440233 - 2¹⁶ = 101140374697 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101140440199 and 101140440208.

It is not an unprimeable number, because it can be changed into a prime (101140440239) 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 23 ways as a sum of consecutive naturals, for example, 9225191 + ... + 9236147.

It is an arithmetic number, because the mean of its divisors is an integer number (4928453643).

Almost surely, 2^101140440233 is an apocalyptic number.

It is an amenable number.

101140440233 is a deficient number, since it is larger than the sum of its proper divisors (17142447199).

101140440233 is a wasteful number, since it uses less digits than its factorization.

101140440233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11961 (or 11954 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 101140440233 its reverse (332044041101), we get a palindrome (433184481334).

The spelling of 101140440233 in words is "one hundred one billion, one hundred forty million, four hundred forty thousand, two hundred thirty-three".