2112001002000 has 120 divisors (see below), whose sum is σ = 7376515562520. Its totient is φ = 563200262400.

The previous prime is 2112001001899. The next prime is 2112001002017. The reversal of 2112001002000 is 2001002112.

It can be written as a sum of positive squares in 4 ways, for example, as 32763896064 + 2079237105936 = 181008^2 + 1441956^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58648695 + ... + 58684694.

It is an arithmetic number, because the mean of its divisors is an integer number (61470963021).

Almost surely, 2^{2112001002000} is an apocalyptic number.

2112001002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112001002000 is an abundant number, since it is smaller than the sum of its proper divisors (5264514560520).

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

2112001002000 is a wasteful number, since it uses less digits than its factorization.

2112001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117333418 (or 117333399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2112001002000 its reverse (2001002112), we get a palindrome (2114002004112).

The spelling of 2112001002000 in words is "two trillion, one hundred twelve billion, one million, two thousand".