2010112112221 has 16 divisors (see below), whose sum is σ = 2033202752640. Its totient is φ = 1987086427200.

The previous prime is 2010112112149. The next prime is 2010112112291. The reversal of 2010112112221 is 1222112110102.

It is a cyclic number.

It is not a de Polignac number, because 2010112112221 - 2²³ = 2010103723613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2010112112195 and 2010112112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010112112291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225268666 + ... + 225277588.

It is an arithmetic number, because the mean of its divisors is an integer number (127075172040).

Almost surely, 2^{2010112112221} is an apocalyptic number.

It is an amenable number.

2010112112221 is a deficient number, since it is larger than the sum of its proper divisors (23090640419).

2010112112221 is a wasteful number, since it uses less digits than its factorization.

2010112112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12276.

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

Adding to 2010112112221 its reverse (1222112110102), we get a palindrome (3232224222323).

The spelling of 2010112112221 in words is "two trillion, ten billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty-one".