2012102010001 has 8 divisors (see below), whose sum is σ = 2099602514880. Its totient is φ = 1924602989232.

The previous prime is 2012102009989. The next prime is 2012102010131. The reversal of 2012102010001 is 1000102012102.

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 2012102010001 - 2⁵ = 2012102009969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2012102010001.

It is not an unprimeable number, because it can be changed into a prime (2012102011001) 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 7 ways as a sum of consecutive naturals, for example, 3084166 + ... + 3679168.

It is an arithmetic number, because the mean of its divisors is an integer number (262450314360).

Almost surely, 2^{2012102010001} is an apocalyptic number.

It is an amenable number.

2012102010001 is a deficient number, since it is larger than the sum of its proper divisors (87500504879).

2012102010001 is a wasteful number, since it uses less digits than its factorization.

2012102010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742055.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2012102010001 its reverse (1000102012102), we get a palindrome (3012204022103).

The spelling of 2012102010001 in words is "two trillion, twelve billion, one hundred two million, ten thousand, one".