2112211212001 has 32 divisors (see below), whose sum is σ = 2550190583808. Its totient is φ = 1725716931840.

The previous prime is 2112211211987. The next prime is 2112211212017. The reversal of 2112211212001 is 1002121122112.

It is not a de Polignac number, because 2112211212001 - 2¹⁵ = 2112211179233 is a prime.

It is a super-2 number, since 2×2112211212001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112211212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2106376 + ... + 2942998.

It is an arithmetic number, because the mean of its divisors is an integer number (79693455744).

Almost surely, 2^{2112211212001} is an apocalyptic number.

It is an amenable number.

2112211212001 is a deficient number, since it is larger than the sum of its proper divisors (437979371807).

2112211212001 is a wasteful number, since it uses less digits than its factorization.

2112211212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837261.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2112211212001 its reverse (1002121122112), we get a palindrome (3114332334113).

The spelling of 2112211212001 in words is "two trillion, one hundred twelve billion, two hundred eleven million, two hundred twelve thousand, one".