2110001121221 has 64 divisors (see below), whose sum is σ = 2654565903360. Its totient is φ = 1635938304000.

The previous prime is 2110001121167. The next prime is 2110001121223. The reversal of 2110001121221 is 1221211000112.

It is not a de Polignac number, because 2110001121221 - 2³⁴ = 2092821252037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2110001121196 and 2110001121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110001121223) 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 63 ways as a sum of consecutive naturals, for example, 737503331 + ... + 737506191.

It is an arithmetic number, because the mean of its divisors is an integer number (41477592240).

Almost surely, 2^{2110001121221} is an apocalyptic number.

It is an amenable number.

2110001121221 is a deficient number, since it is larger than the sum of its proper divisors (544564782139).

2110001121221 is a wasteful number, since it uses less digits than its factorization.

2110001121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2110001121221 its reverse (1221211000112), we get a palindrome (3331212121333).

It can be divided in two parts, 211000112 and 1221, that multiplied together give a palindrome (257631136752).

The spelling of 2110001121221 in words is "two trillion, one hundred ten billion, one million, one hundred twenty-one thousand, two hundred twenty-one".