2002111000001 has 32 divisors (see below), whose sum is σ = 2354806272000. Its totient is φ = 1667415016656.

The previous prime is 2002110999997. The next prime is 2002111000039. The reversal of 2002111000001 is 1000001112002.

It is not a de Polignac number, because 2002111000001 - 2² = 2002110999997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002111600001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101009870 + ... + 101029688.

It is an arithmetic number, because the mean of its divisors is an integer number (73587696000).

Almost surely, 2^{2002111000001} is an apocalyptic number.

It is an amenable number.

2002111000001 is a deficient number, since it is larger than the sum of its proper divisors (352695271999).

2002111000001 is an frugal number, since it uses more digits than its factorization.

2002111000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20106 (or 20012 counting only the distinct ones).

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

Adding to 2002111000001 its reverse (1000001112002), we get a palindrome (3002112112003).

The spelling of 2002111000001 in words is "two trillion, two billion, one hundred eleven million, one", and thus it is an aban number.