2021112112100 has 18 divisors (see below), whose sum is σ = 4385813283474. Its totient is φ = 808444844800.

The previous prime is 2021112112067. The next prime is 2021112112127. The reversal of 2021112112100 is 12112111202.

It can be written as a sum of positive squares in 3 ways, for example, as 6194319616 + 2014917792484 = 78704^2 + 1419478^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10105560461 + ... + 10105560660.

Almost surely, 2^{2021112112100} is an apocalyptic number.

2021112112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021112112100 is an abundant number, since it is smaller than the sum of its proper divisors (2364701171374).

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

2021112112100 is a wasteful number, since it uses less digits than its factorization.

2021112112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20211121135 (or 20211121128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2021112112100 its reverse (12112111202), we get a palindrome (2033224223302).

The spelling of 2021112112100 in words is "two trillion, twenty-one billion, one hundred twelve million, one hundred twelve thousand, one hundred".