2012101012001 has 4 divisors (see below), whose sum is σ = 2014938954900. Its totient is φ = 2009263069104.

The previous prime is 2012101011941. The next prime is 2012101012007. The reversal of 2012101012001 is 1002101012102.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 666092661025 + 1346008350976 = 816145^2 + 1160176^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012101012001 - 2¹⁴ = 2012100995617 is a prime.

It is a super-3 number, since 3×2012101012001³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012101012007) 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 3 ways as a sum of consecutive naturals, for example, 1418970386 + ... + 1418971803.

It is an arithmetic number, because the mean of its divisors is an integer number (503734738725).

Almost surely, 2^{2012101012001} is an apocalyptic number.

It is an amenable number.

2012101012001 is a deficient number, since it is larger than the sum of its proper divisors (2837942899).

2012101012001 is an equidigital number, since it uses as much as digits as its factorization.

2012101012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837942898.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2012101012001 its reverse (1002101012102), we get a palindrome (3014202024103).

It can be divided in two parts, 201210101 and 2001, that added together give a palindrome (201212102).

The spelling of 2012101012001 in words is "two trillion, twelve billion, one hundred one million, twelve thousand, one".