100330240041 has 12 divisors (see below), whose sum is σ = 147655825668. Its totient is φ = 65624810784.

The previous prime is 100330240019. The next prime is 100330240057. The reversal of 100330240041 is 140042033001.

It can be written as a sum of positive squares in 2 ways, for example, as 76615472025 + 23714768016 = 276795^2 + 153996^2 .

It is not a de Polignac number, because 100330240041 - 2²⁵ = 100296685609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100330239996 and 100330240023.

It is not an unprimeable number, because it can be changed into a prime (100330240061) 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 11 ways as a sum of consecutive naturals, for example, 105167490 + ... + 105168443.

It is an arithmetic number, because the mean of its divisors is an integer number (12304652139).

Almost surely, 2^100330240041 is an apocalyptic number.

It is an amenable number.

100330240041 is a deficient number, since it is larger than the sum of its proper divisors (47325585627).

100330240041 is a wasteful number, since it uses less digits than its factorization.

100330240041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210335992 (or 210335989 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100330240041 its reverse (140042033001), we get a palindrome (240372273042).

The spelling of 100330240041 in words is "one hundred billion, three hundred thirty million, two hundred forty thousand, forty-one".