101114332441 has 8 divisors (see below), whose sum is σ = 101196576000. Its totient is φ = 101032123920.

The previous prime is 101114332439. The next prime is 101114332457. The reversal of 101114332441 is 144233411101.

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

It is a cyclic number.

It is not a de Polignac number, because 101114332441 - 2¹ = 101114332439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101114330441) 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 7 ways as a sum of consecutive naturals, for example, 9410250 + ... + 9420988.

It is an arithmetic number, because the mean of its divisors is an integer number (12649572000).

Almost surely, 2^101114332441 is an apocalyptic number.

It is an amenable number.

101114332441 is a deficient number, since it is larger than the sum of its proper divisors (82243559).

101114332441 is a wasteful number, since it uses less digits than its factorization.

101114332441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17519.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 101114332441 its reverse (144233411101), we get a palindrome (245347743542).

The spelling of 101114332441 in words is "one hundred one billion, one hundred fourteen million, three hundred thirty-two thousand, four hundred forty-one".