212000000212001 has 32 divisors (see below), whose sum is σ = 221442151795200. Its totient is φ = 202807231361280.

The previous prime is 212000000211977. The next prime is 212000000212051. The reversal of 212000000212001 is 100212000000212.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212000000212001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212000000212051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1006260410 + ... + 1006471068.

It is an arithmetic number, because the mean of its divisors is an integer number (6920067243600).

Almost surely, 2^{212000000212001} is an apocalyptic number.

It is an amenable number.

212000000212001 is a deficient number, since it is larger than the sum of its proper divisors (9442151583199).

212000000212001 is a wasteful number, since it uses less digits than its factorization.

212000000212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212969.

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

Adding to 212000000212001 its reverse (100212000000212), we get a palindrome (312212000212213).

The spelling of 212000000212001 in words is "two hundred twelve trillion, two hundred twelve thousand, one".