212120201102112 has 288 divisors, whose sum is σ = 614032593318144. Its totient is φ = 69450421248000.

The previous prime is 212120201101993. The next prime is 212120201102123. The reversal of 212120201102112 is 211201102021212.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 15916568793 + ... + 15916582119.

It is an arithmetic number, because the mean of its divisors is an integer number (2132057615688).

Almost surely, 2^{212120201102112} 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 212120201102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307016296659072).

212120201102112 is an abundant number, since it is smaller than the sum of its proper divisors (401912392216032).

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

212120201102112 is a wasteful number, since it uses less digits than its factorization.

212120201102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17752 (or 17741 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212120201102112 its reverse (211201102021212), we get a palindrome (423321303123324).

The spelling of 212120201102112 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred one million, one hundred two thousand, one hundred twelve".