2012002001001 has 6 divisors (see below), whose sum is σ = 2906225112570. Its totient is φ = 1341334667328.

The previous prime is 2012002000979. The next prime is 2012002001027. The reversal of 2012002001001 is 1001002002102.

It can be written as a sum of positive squares in only one way, i.e., 1381621579776 + 630380421225 = 1175424^2 + 793965^2 .

It is not a de Polignac number, because 2012002001001 - 2⁵ = 2012002000969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 223555777889 = 2012002001001 / (2 + 0 + 1 + 2 + 0 + 0 + 2 + 0 + 0 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (2012002001101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111777888936 + ... + 111777888953.

It is an arithmetic number, because the mean of its divisors is an integer number (484370852095).

Almost surely, 2^{2012002001001} is an apocalyptic number.

It is an amenable number.

2012002001001 is a deficient number, since it is larger than the sum of its proper divisors (894223111569).

2012002001001 is a wasteful number, since it uses less digits than its factorization.

2012002001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223555777895 (or 223555777892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2012002001001 its reverse (1001002002102), we get a palindrome (3013004003103).

The spelling of 2012002001001 in words is "two trillion, twelve billion, two million, one thousand, one".