2002022212100 has 72 divisors (see below), whose sum is σ = 4409677403208. Its totient is φ = 788854528000.

The previous prime is 2002022212093. The next prime is 2002022212103. The reversal of 2002022212100 is 12122202002.

It can be written as a sum of positive squares in 12 ways, for example, as 84755512384 + 1917266699716 = 291128^2 + 1384654^2 .

It is not an unprimeable number, because it can be changed into a prime (2002022212103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1486604 + ... + 2492796.

It is an arithmetic number, because the mean of its divisors is an integer number (61245519489).

Almost surely, 2^{2002022212100} is an apocalyptic number.

2002022212100 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 2002022212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204838701604).

2002022212100 is an abundant number, since it is smaller than the sum of its proper divisors (2407655191108).

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

2002022212100 is a wasteful number, since it uses less digits than its factorization.

2002022212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006505 (or 1006498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2002022212100 its reverse (12122202002), we get a palindrome (2014144414102).

It can be divided in two parts, 2002022 and 212100, that added together give a palindrome (2214122).

The spelling of 2002022212100 in words is "two trillion, two billion, twenty-two million, two hundred twelve thousand, one hundred".