201212101012001 has 48 divisors (see below), whose sum is σ = 221012858419200. Its totient is φ = 182659711530240.

The previous prime is 201212101011983. The next prime is 201212101012051. The reversal of 201212101012001 is 100210101212102.

It is a de Polignac number, because none of the positive numbers 2^k-201212101012001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201212101012051) 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, 1180231301 + ... + 1180401773.

It is an arithmetic number, because the mean of its divisors is an integer number (4604434550400).

Almost surely, 2^{201212101012001} is an apocalyptic number.

It is an amenable number.

201212101012001 is a deficient number, since it is larger than the sum of its proper divisors (19800757407199).

201212101012001 is a wasteful number, since it uses less digits than its factorization.

201212101012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171190 (or 171159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201212101012001 its reverse (100210101212102), we get a palindrome (301422202224103).

It can be divided in two parts, 20121210101 and 2001, that added together give a palindrome (20121212102).

The spelling of 201212101012001 in words is "two hundred one trillion, two hundred twelve billion, one hundred one million, twelve thousand, one".