2120011101221 has 16 divisors (see below), whose sum is σ = 2326257964800. Its totient is φ = 1919934169920.

The previous prime is 2120011101211. The next prime is 2120011101227. The reversal of 2120011101221 is 1221011100212.

It is not a de Polignac number, because 2120011101221 - 2¹⁴ = 2120011084837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2120011101196 and 2120011101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120011101227) 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 15 ways as a sum of consecutive naturals, for example, 24691556 + ... + 24777266.

It is an arithmetic number, because the mean of its divisors is an integer number (145391122800).

Almost surely, 2^{2120011101221} is an apocalyptic number.

It is an amenable number.

2120011101221 is a deficient number, since it is larger than the sum of its proper divisors (206246863579).

2120011101221 is a wasteful number, since it uses less digits than its factorization.

2120011101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121676.

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

Adding to 2120011101221 its reverse (1221011100212), we get a palindrome (3341022201433).

The spelling of 2120011101221 in words is "two trillion, one hundred twenty billion, eleven million, one hundred one thousand, two hundred twenty-one".