2120221013211 has 16 divisors (see below), whose sum is σ = 3589792192000. Its totient is φ = 1211554864584.

The previous prime is 2120221013201. The next prime is 2120221013219. The reversal of 2120221013211 is 1123101220212.

2120221013211 is a `hidden beast` number, since 2 + 120 + 221 + 0 + 1 + 321 + 1 = 666.

It is not a de Polignac number, because 2120221013211 - 2¹⁴ = 2120220996827 is a prime.

It is a super-2 number, since 2×2120221013211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120221013219) 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 15 ways as a sum of consecutive naturals, for example, 5609050111 + ... + 5609050488.

It is an arithmetic number, because the mean of its divisors is an integer number (224362012000).

Almost surely, 2^{2120221013211} is an apocalyptic number.

2120221013211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2120221013211 is a deficient number, since it is larger than the sum of its proper divisors (1469571178789).

2120221013211 is a wasteful number, since it uses less digits than its factorization.

2120221013211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11218100615 (or 11218100609 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2120221013211 its reverse (1123101220212), we get a palindrome (3243322233423).

The spelling of 2120221013211 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, thirteen thousand, two hundred eleven".