201212012122001 has 8 divisors (see below), whose sum is σ = 203292957217224. Its totient is φ = 199131201607680.

The previous prime is 201212012121961. The next prime is 201212012122007. The reversal of 201212012122001 is 100221210212102.

It can be written as a sum of positive squares in 4 ways, for example, as 89961412070401 + 111250600051600 = 9484799^2 + 10547540^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 201212012122001 - 2⁴² = 196813965610897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201212012122007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30638180 + ... + 36621333.

It is an arithmetic number, because the mean of its divisors is an integer number (25411619652153).

Almost surely, 2^{201212012122001} is an apocalyptic number.

It is an amenable number.

201212012122001 is a deficient number, since it is larger than the sum of its proper divisors (2080945095223).

201212012122001 is an equidigital number, since it uses as much as digits as its factorization.

201212012122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67290451.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201212012122001 its reverse (100221210212102), we get a palindrome (301433222334103).

The spelling of 201212012122001 in words is "two hundred one trillion, two hundred twelve billion, twelve million, one hundred twenty-two thousand, one".