2022001100 has 144 divisors (see below), whose sum is σ = 5249664000. Its totient is φ = 661516800.

The previous prime is 2022001087. The next prime is 2022001103. The reversal of 2022001100 is 11002202.

It is not an unprimeable number, because it can be changed into a prime (2022001103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348151 + ... + 1349649.

It is an arithmetic number, because the mean of its divisors is an integer number (36456000).

Almost surely, 2^2022001100 is an apocalyptic number.

2022001100 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 2022001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832000).

2022001100 is an abundant number, since it is smaller than the sum of its proper divisors (3227662900).

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

2022001100 is a wasteful number, since it uses less digits than its factorization.

2022001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1601 counting only the distinct ones).

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

The square root of 2022001100 is about 44966.6665431184. Note that the first 3 decimals coincide. The cubic root of 2022001100 is about 1264.5241535423.

Adding to 2022001100 its reverse (11002202), we get a palindrome (2033003302).

The spelling of 2022001100 in words is "two billion, twenty-two million, one thousand, one hundred".