2012102002001 has 32 divisors (see below), whose sum is σ = 2527534775808. Its totient is φ = 1559246008320.

The previous prime is 2012102001941. The next prime is 2012102002019. The reversal of 2012102002001 is 1002002012102.

It is a happy number.

It is not a de Polignac number, because 2012102002001 - 2²² = 2012097807697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2012102002061) 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 31 ways as a sum of consecutive naturals, for example, 2421356 + ... + 3144386.

It is an arithmetic number, because the mean of its divisors is an integer number (78985461744).

Almost surely, 2^{2012102002001} is an apocalyptic number.

It is an amenable number.

2012102002001 is a deficient number, since it is larger than the sum of its proper divisors (515432773807).

2012102002001 is a wasteful number, since it uses less digits than its factorization.

2012102002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723681.

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

Adding to 2012102002001 its reverse (1002002012102), we get a palindrome (3014104014103).

The spelling of 2012102002001 in words is "two trillion, twelve billion, one hundred two million, two thousand, one".