214007101 has 48 divisors (see below), whose sum is σ = 290004480. Its totient is φ = 153342720.

The previous prime is 214007083. The next prime is 214007137. The reversal of 214007101 is 101700412.

It is not a de Polignac number, because 214007101 - 2⁵ = 214007069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214007161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312846 + ... + 1313008.

It is an arithmetic number, because the mean of its divisors is an integer number (6041760).

Almost surely, 2^214007101 is an apocalyptic number.

It is an amenable number.

214007101 is a deficient number, since it is larger than the sum of its proper divisors (75997379).

214007101 is a wasteful number, since it uses less digits than its factorization.

214007101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 214007101 is about 14628.9815434978. The cubic root of 214007101 is about 598.1490188011.

Adding to 214007101 its reverse (101700412), we get a palindrome (315707513).

The spelling of 214007101 in words is "two hundred fourteen million, seven thousand, one hundred one".