214315101 has 48 divisors (see below), whose sum is σ = 415658880. Its totient is φ = 102764160.

The previous prime is 214315097. The next prime is 214315109. The reversal of 214315101 is 101513412.

It is not a de Polignac number, because 214315101 - 2² = 214315097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214315109) 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 47 ways as a sum of consecutive naturals, for example, 2886 + ... + 20903.

It is an arithmetic number, because the mean of its divisors is an integer number (8659560).

Almost surely, 2^214315101 is an apocalyptic number.

214315101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214315101 is a deficient number, since it is larger than the sum of its proper divisors (201343779).

214315101 is a wasteful number, since it uses less digits than its factorization.

214315101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23826 (or 23823 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 214315101 is about 14639.5048071989. The cubic root of 214315101 is about 598.4358341856.

Adding to 214315101 its reverse (101513412), we get a palindrome (315828513).

The spelling of 214315101 in words is "two hundred fourteen million, three hundred fifteen thousand, one hundred one".