2001222112101 has 32 divisors (see below), whose sum is σ = 2736814521600. Its totient is φ = 1300324354560.

The previous prime is 2001222112069. The next prime is 2001222112111. The reversal of 2001222112101 is 1012112221002.

It is not a de Polignac number, because 2001222112101 - 2⁵ = 2001222112069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001222112111) 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, 183441435 + ... + 183452343.

It is an arithmetic number, because the mean of its divisors is an integer number (85525453800).

Almost surely, 2^{2001222112101} is an apocalyptic number.

It is an amenable number.

2001222112101 is a deficient number, since it is larger than the sum of its proper divisors (735592409499).

2001222112101 is a wasteful number, since it uses less digits than its factorization.

2001222112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20749.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2001222112101 its reverse (1012112221002), we get a palindrome (3013334333103).

The spelling of 2001222112101 in words is "two trillion, one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred one".