214312444101 has 18 divisors (see below), whose sum is σ = 360103223142. Its totient is φ = 122464253520.

The previous prime is 214312444081. The next prime is 214312444133. The reversal of 214312444101 is 101444213412.

214312444101 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 1 + 244 + 410 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 140811812001 + 73500632100 = 375249^2 + 271110^2 .

It is not a de Polignac number, because 214312444101 - 2²⁷ = 214178226373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214312444141) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 242984190 + ... + 242985071.

It is an arithmetic number, because the mean of its divisors is an integer number (20005734619).

Almost surely, 2^214312444101 is an apocalyptic number.

214312444101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214312444101 is a deficient number, since it is larger than the sum of its proper divisors (145790779041).

214312444101 is a wasteful number, since it uses less digits than its factorization.

214312444101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485969281 (or 485969271 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 214312444101 its reverse (101444213412), we get a palindrome (315756657513).

The spelling of 214312444101 in words is "two hundred fourteen billion, three hundred twelve million, four hundred forty-four thousand, one hundred one".