2112001001 has 32 divisors (see below), whose sum is σ = 2501953920. Its totient is φ = 1761408000.

The previous prime is 2112000971. The next prime is 2112001007. The reversal of 2112001001 is 1001002112.

It is not a de Polignac number, because 2112001001 - 2⁶ = 2112000937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2112001001.

It is not an unprimeable number, because it can be changed into a prime (2112001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1264595 + ... + 1266263.

It is an arithmetic number, because the mean of its divisors is an integer number (78186060).

Almost surely, 2^2112001001 is an apocalyptic number.

It is an amenable number.

2112001001 is a deficient number, since it is larger than the sum of its proper divisors (389952919).

2112001001 is a wasteful number, since it uses less digits than its factorization.

2112001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2112001001 is about 45956.5120630363. The cubic root of 2112001001 is about 1283.0139346966.

Adding to 2112001001 its reverse (1001002112), we get a palindrome (3113003113).

The spelling of 2112001001 in words is "two billion, one hundred twelve million, one thousand, one".