2101221102211 has 16 divisors (see below), whose sum is σ = 2619737187840. Its totient is φ = 1637294546880.

The previous prime is 2101221102179. The next prime is 2101221102217. The reversal of 2101221102211 is 1122011221012.

It is a cyclic number.

It is not a de Polignac number, because 2101221102211 - 2⁵ = 2101221102179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101221102217) 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, 9517170 + ... + 9735448.

It is an arithmetic number, because the mean of its divisors is an integer number (163733574240).

Almost surely, 2^{2101221102211} is an apocalyptic number.

2101221102211 is a deficient number, since it is larger than the sum of its proper divisors (518516085629).

2101221102211 is a wasteful number, since it uses less digits than its factorization.

2101221102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343314.

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

Adding to 2101221102211 its reverse (1122011221012), we get a palindrome (3223232323223).

The spelling of 2101221102211 in words is "two trillion, one hundred one billion, two hundred twenty-one million, one hundred two thousand, two hundred eleven".