2112100211221 has 32 divisors (see below), whose sum is σ = 2842899284736. Its totient is φ = 1515404160000.

The previous prime is 2112100211197. The next prime is 2112100211237. The reversal of 2112100211221 is 1221120012112.

It is a cyclic number.

It is not a de Polignac number, because 2112100211221 - 2¹³ = 2112100203029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2112100211195 and 2112100211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112100211281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2229510 + ... + 3032311.

It is an arithmetic number, because the mean of its divisors is an integer number (88840602648).

Almost surely, 2^{2112100211221} is an apocalyptic number.

It is an amenable number.

2112100211221 is a deficient number, since it is larger than the sum of its proper divisors (730799073515).

2112100211221 is a wasteful number, since it uses less digits than its factorization.

2112100211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262253.

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

Adding to 2112100211221 its reverse (1221120012112), we get a palindrome (3333220223333).

The spelling of 2112100211221 in words is "two trillion, one hundred twelve billion, one hundred million, two hundred eleven thousand, two hundred twenty-one".