2002122202128 has 160 divisors (see below), whose sum is σ = 5263243488000. Its totient is φ = 655696723968.

The previous prime is 2002122202127. The next prime is 2002122202187. The reversal of 2002122202128 is 8212022212002.

It is a happy number.

It is a super-3 number, since 3×2002122202128³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2002122202098 and 2002122202107.

It is not an unprimeable number, because it can be changed into a prime (2002122202127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1420951888 + ... + 1420953296.

It is an arithmetic number, because the mean of its divisors is an integer number (32895271800).

Almost surely, 2^{2002122202128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002122202128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631621744000).

2002122202128 is an abundant number, since it is smaller than the sum of its proper divisors (3261121285872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002122202128 is a wasteful number, since it uses less digits than its factorization.

2002122202128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 2002122202128 in words is "two trillion, two billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-eight".