212101102101200 has 240 divisors, whose sum is σ = 550305458363136. Its totient is φ = 78095462860800.

The previous prime is 212101102101157. The next prime is 212101102101253. The reversal of 212101102101200 is 2101201101212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3902692427 + ... + 3902746773.

Almost surely, 2^{212101102101200} is an apocalyptic number.

212101102101200 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 212101102101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275152729181568).

212101102101200 is an abundant number, since it is smaller than the sum of its proper divisors (338204356261936).

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

212101102101200 is a wasteful number, since it uses less digits than its factorization.

212101102101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56462 (or 56451 counting only the distinct ones).

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

Adding to 212101102101200 its reverse (2101201101212), we get a palindrome (214202303202412).

The spelling of 212101102101200 in words is "two hundred twelve trillion, one hundred one billion, one hundred two million, one hundred one thousand, two hundred".