2002022023100 has 288 divisors, whose sum is σ = 4931444534016. Its totient is φ = 699168153600.

The previous prime is 2002022023091. The next prime is 2002022023189. The reversal of 2002022023100 is 13202202002.

It is a super-2 number, since 2×2002022023100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 747858962 + ... + 747861638.

Almost surely, 2^{2002022023100} is an apocalyptic number.

2002022023100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002022023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465722267008).

2002022023100 is an abundant number, since it is smaller than the sum of its proper divisors (2929422510916).

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

2002022023100 is a wasteful number, since it uses less digits than its factorization.

2002022023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 2002022023100 its reverse (13202202002), we get a palindrome (2015224225102).

The spelling of 2002022023100 in words is "two trillion, two billion, twenty-two million, twenty-three thousand, one hundred".