101114441 has 8 divisors (see below), whose sum is σ = 101861760. Its totient is φ = 100370448.

The previous prime is 101114411. The next prime is 101114471. The reversal of 101114441 is 144411101.

It is an interprime number because it is at equal distance from previous prime (101114411) and next prime (101114471).

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 101114441 - 2¹⁴ = 101098057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101114401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96800 + ... + 97838.

It is an arithmetic number, because the mean of its divisors is an integer number (12732720).

Almost surely, 2^101114441 is an apocalyptic number.

It is an amenable number.

101114441 is a deficient number, since it is larger than the sum of its proper divisors (747319).

101114441 is a wasteful number, since it uses less digits than its factorization.

101114441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 101114441 is about 10055.5676617484. The cubic root of 101114441 is about 465.8767764105.

Adding to 101114441 its reverse (144411101), we get a palindrome (245525542).

The spelling of 101114441 in words is "one hundred one million, one hundred fourteen thousand, four hundred forty-one".