2012200201001 has 16 divisors (see below), whose sum is σ = 2064684518400. Its totient is φ = 1960434083520.

The previous prime is 2012200200979. The next prime is 2012200201013. The reversal of 2012200201001 is 1001020022102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2012200201001 - 2³⁴ = 1995020331817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012200207001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2335331 + ... + 3078663.

It is an arithmetic number, because the mean of its divisors is an integer number (129042782400).

Almost surely, 2^{2012200201001} is an apocalyptic number.

It is an amenable number.

2012200201001 is a deficient number, since it is larger than the sum of its proper divisors (52484317399).

2012200201001 is a wasteful number, since it uses less digits than its factorization.

2012200201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743816.

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

Adding to 2012200201001 its reverse (1001020022102), we get a palindrome (3013220223103).

The spelling of 2012200201001 in words is "two trillion, twelve billion, two hundred million, two hundred one thousand, one".