2012000101001 has 8 divisors (see below), whose sum is σ = 2194948769664. Its totient is φ = 1829058027120.

The previous prime is 2012000100949. The next prime is 2012000101063. The reversal of 2012000101001 is 1001010002102.

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 2012000101001 - 2¹⁸ = 2011999838857 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 2012000101001.

It is not an unprimeable number, because it can be changed into a prime (2012000101901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999665 + ... + 2241278.

It is an arithmetic number, because the mean of its divisors is an integer number (274368596208).

Almost surely, 2^{2012000101001} is an apocalyptic number.

It is an amenable number.

2012000101001 is a deficient number, since it is larger than the sum of its proper divisors (182948668663).

2012000101001 is a wasteful number, since it uses less digits than its factorization.

2012000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297391.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2012000101001 its reverse (1001010002102), we get a palindrome (3013010103103).

The spelling of 2012000101001 in words is "two trillion, twelve billion, one hundred one thousand, one".