214101041 has 24 divisors (see below), whose sum is σ = 272587680. Its totient is φ = 166286400.

The previous prime is 214101023. The next prime is 214101059. The reversal of 214101041 is 140101412.

It is an interprime number because it is at equal distance from previous prime (214101023) and next prime (214101059).

It is not a de Polignac number, because 214101041 - 2¹⁰ = 214100017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (214101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264245 + ... + 265053.

It is an arithmetic number, because the mean of its divisors is an integer number (11357820).

Almost surely, 2^214101041 is an apocalyptic number.

It is an amenable number.

214101041 is a deficient number, since it is larger than the sum of its proper divisors (58486639).

214101041 is a wasteful number, since it uses less digits than its factorization.

214101041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 214101041 is about 14632.1919410593. The cubic root of 214101041 is about 598.2365266437.

Adding to 214101041 its reverse (140101412), we get a palindrome (354202453).

The spelling of 214101041 in words is "two hundred fourteen million, one hundred one thousand, forty-one".