2112001001001 has 12 divisors (see below), whose sum is σ = 3050681116912. Its totient is φ = 1407994665336.

The previous prime is 2112001000981. The next prime is 2112001001003. The reversal of 2112001001001 is 1001001002112.

It is a happy number.

It is not a de Polignac number, because 2112001001001 - 2¹³ = 2112000992809 is a prime.

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

It is a Duffinian number.

2112001001001 is a modest number, since divided by 1001001 gives 2112 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2112001001003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3068670 + ... + 3693336.

Almost surely, 2^{2112001001001} is an apocalyptic number.

It is an amenable number.

2112001001001 is a deficient number, since it is larger than the sum of its proper divisors (938680115911).

2112001001001 is a wasteful number, since it uses less digits than its factorization.

2112001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000340 (or 1000337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2112001001001 its reverse (1001001002112), we get a palindrome (3113002003113).

It can be divided in two parts, 211200 and 1001001, that added together give a square (1212201 = 1101²).

The spelling of 2112001001001 in words is "two trillion, one hundred twelve billion, one million, one thousand, one".