2112112002001 has 16 divisors (see below), whose sum is σ = 2247812461440. Its totient is φ = 1978916296320.

The previous prime is 2112112001983. The next prime is 2112112002017. The reversal of 2112112002001 is 1002002112112.

It is not a de Polignac number, because 2112112002001 - 2⁷ = 2112112001873 is a prime.

It is a super-3 number, since 3×2112112002001³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112112002901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780171 + ... + 2198383.

It is an arithmetic number, because the mean of its divisors is an integer number (140488278840).

Almost surely, 2^{2112112002001} is an apocalyptic number.

It is an amenable number.

2112112002001 is a deficient number, since it is larger than the sum of its proper divisors (135700459439).

2112112002001 is a wasteful number, since it uses less digits than its factorization.

2112112002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419096.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2112112002001 its reverse (1002002112112), we get a palindrome (3114114114113).

The spelling of 2112112002001 in words is "two trillion, one hundred twelve billion, one hundred twelve million, two thousand, one".