2022112100 has 36 divisors (see below), whose sum is σ = 4401312048. Its totient is φ = 806388000.

The previous prime is 2022112097. The next prime is 2022112117. The reversal of 2022112100 is 12112202.

It is a happy number.

It is a super-4 number, since 4×2022112100⁴ (a number of 38 digits) contains 4444 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2555 + ... + 63645.

It is an arithmetic number, because the mean of its divisors is an integer number (122258668).

Almost surely, 2^2022112100 is an apocalyptic number.

2022112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022112100 is an abundant number, since it is smaller than the sum of its proper divisors (2379199948).

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

2022112100 is a wasteful number, since it uses less digits than its factorization.

2022112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61436 (or 61429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2022112100 is about 44967.9007737742. The cubic root of 2022112100 is about 1264.5472922723.

Adding to 2022112100 its reverse (12112202), we get a palindrome (2034224302).

The spelling of 2022112100 in words is "two billion, twenty-two million, one hundred twelve thousand, one hundred".