4000212101 has 8 divisors (see below), whose sum is σ = 4213622400. Its totient is φ = 3787089120.

The previous prime is 4000212077. The next prime is 4000212103. The reversal of 4000212101 is 1012120004.

4000212101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4000212101 - 2¹⁸ = 3999949957 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 (4000212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42941 + ... + 99218.

It is an arithmetic number, because the mean of its divisors is an integer number (526702800).

Almost surely, 2^4000212101 is an apocalyptic number.

It is an amenable number.

4000212101 is a deficient number, since it is larger than the sum of its proper divisors (213410299).

4000212101 is a wasteful number, since it uses less digits than its factorization.

4000212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143659.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 4000212101 is about 63247.2299867749. The cubic root of 4000212101 is about 1587.4291089182.

Adding to 4000212101 its reverse (1012120004), we get a palindrome (5012332105).

The spelling of 4000212101 in words is "four billion, two hundred twelve thousand, one hundred one".