2021100011112 has 256 divisors, whose sum is σ = 6555967488000. Its totient is φ = 504866442240.

The previous prime is 2021100011101. The next prime is 2021100011131. The reversal of 2021100011112 is 2111100011202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 2864514 + ... + 3499662.

It is an arithmetic number, because the mean of its divisors is an integer number (25609248000).

Almost surely, 2^{2021100011112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021100011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277983744000).

2021100011112 is an abundant number, since it is smaller than the sum of its proper divisors (4534867476888).

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

2021100011112 is a wasteful number, since it uses less digits than its factorization.

2021100011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635256 (or 635252 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2021100011112 its reverse (2111100011202), we get a palindrome (4132200022314).

The spelling of 2021100011112 in words is "two trillion, twenty-one billion, one hundred million, eleven thousand, one hundred twelve".