212100201022112 has 96 divisors (see below), whose sum is σ = 473726267784000. Its totient is φ = 92668660789248.

The previous prime is 212100201022091. The next prime is 212100201022133. The reversal of 212100201022112 is 211220102001212.

It is an interprime number because it is at equal distance from previous prime (212100201022091) and next prime (212100201022133).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93362 + ... + 20596337.

It is an arithmetic number, because the mean of its divisors is an integer number (4934648622750).

Almost surely, 2^{212100201022112} 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 212100201022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236863133892000).

212100201022112 is an abundant number, since it is smaller than the sum of its proper divisors (261626066761888).

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

212100201022112 is a wasteful number, since it uses less digits than its factorization.

212100201022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20691038 (or 20691030 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212100201022112 its reverse (211220102001212), we get a palindrome (423320303023324).

The spelling of 212100201022112 in words is "two hundred twelve trillion, one hundred billion, two hundred one million, twenty-two thousand, one hundred twelve".