2002000011101 has 2 divisors, whose sum is σ = 2002000011102. Its totient is φ = 2002000011100.

The previous prime is 2002000011029. The next prime is 2002000011169. The reversal of 2002000011101 is 1011100002002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1913449725625 + 88550285476 = 1383275^2 + 297574^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002000011101 - 2³⁴ = 1984820141917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002000011191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001000005550 + 1001000005551.

It is an arithmetic number, because the mean of its divisors is an integer number (1001000005551).

Almost surely, 2^{2002000011101} is an apocalyptic number.

It is an amenable number.

2002000011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002000011101 is an equidigital number, since it uses as much as digits as its factorization.

2002000011101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2002000011101 its reverse (1011100002002), we get a palindrome (3013100013103).

Subtracting from 2002000011101 its reverse (1011100002002), we obtain a palindrome (990900009099).

The spelling of 2002000011101 in words is "two trillion, two billion, eleven thousand, one hundred one".