2002002221011 has 32 divisors (see below), whose sum is σ = 2177440505856. Its totient is φ = 1829735568000.

The previous prime is 2002002220987. The next prime is 2002002221029. The reversal of 2002002221011 is 1101222002002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2002002221011 - 2⁵ = 2002002220979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002002220982 and 2002002221000.

It is not an unprimeable number, because it can be changed into a prime (2002002221111) 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 31 ways as a sum of consecutive naturals, for example, 717305026 + ... + 717307816.

It is an arithmetic number, because the mean of its divisors is an integer number (68045015808).

Almost surely, 2^{2002002221011} is an apocalyptic number.

2002002221011 is a deficient number, since it is larger than the sum of its proper divisors (175438284845).

2002002221011 is a wasteful number, since it uses less digits than its factorization.

2002002221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002002221011 its reverse (1101222002002), we get a palindrome (3103224223013).

The spelling of 2002002221011 in words is "two trillion, two billion, two million, two hundred twenty-one thousand, eleven".