4214351220201 has 48 divisors (see below), whose sum is σ = 6669291666960. Its totient is φ = 2552520499200.

The previous prime is 4214351220197. The next prime is 4214351220217. The reversal of 4214351220201 is 1020221534124.

4214351220201 is a `hidden beast` number, since 4 + 2 + 1 + 435 + 1 + 2 + 20 + 201 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 133046210025 + 4081305010176 = 364755^2 + 2020224^2 .

It is not a de Polignac number, because 4214351220201 - 2² = 4214351220197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4214351220301) 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, 19294401 + ... + 19511601.

It is an arithmetic number, because the mean of its divisors is an integer number (138943576395).

Almost surely, 2^{4214351220201} is an apocalyptic number.

It is an amenable number.

4214351220201 is a deficient number, since it is larger than the sum of its proper divisors (2454940446759).

4214351220201 is a wasteful number, since it uses less digits than its factorization.

4214351220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221626 (or 221623 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 4214351220201 its reverse (1020221534124), we get a palindrome (5234572754325).

The spelling of 4214351220201 in words is "four trillion, two hundred fourteen billion, three hundred fifty-one million, two hundred twenty thousand, two hundred one".