2112001323201 has 192 divisors, whose sum is σ = 4423438356480. Its totient is φ = 935722782720.

The previous prime is 2112001323137. The next prime is 2112001323221. The reversal of 2112001323201 is 1023231002112.

2112001323201 is a `hidden beast` number, since 2 + 11 + 200 + 132 + 320 + 1 = 666.

It is not a de Polignac number, because 2112001323201 - 2⁶ = 2112001323137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2112001323221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4943181 + ... + 5353413.

It is an arithmetic number, because the mean of its divisors is an integer number (23038741440).

Almost surely, 2^{2112001323201} is an apocalyptic number.

2112001323201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112001323201 is an abundant number, since it is smaller than the sum of its proper divisors (2311437033279).

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

2112001323201 is a wasteful number, since it uses less digits than its factorization.

2112001323201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410316 (or 410313 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2112001323201 its reverse (1023231002112), we get a palindrome (3135232325313).

The spelling of 2112001323201 in words is "two trillion, one hundred twelve billion, one million, three hundred twenty-three thousand, two hundred one".