2221102220211 has 40 divisors (see below), whose sum is σ = 3838713807760. Its totient is φ = 1269201231648.

The previous prime is 2221102220167. The next prime is 2221102220219. The reversal of 2221102220211 is 1120222011222.

It is a happy number.

2221102220211 is a `hidden beast` number, since 2 + 221 + 10 + 2 + 220 + 211 = 666.

It is not a de Polignac number, because 2221102220211 - 2¹⁵ = 2221102187443 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2221102220219) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17066170 + ... + 17195823.

It is an arithmetic number, because the mean of its divisors is an integer number (95967845194).

Almost surely, 2^{2221102220211} is an apocalyptic number.

2221102220211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2221102220211 is a deficient number, since it is larger than the sum of its proper divisors (1617611587549).

2221102220211 is an frugal number, since it uses more digits than its factorization.

2221102220211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34262030 (or 34262003 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2221102220211 its reverse (1120222011222), we get a palindrome (3341324231433).

The spelling of 2221102220211 in words is "two trillion, two hundred twenty-one billion, one hundred two million, two hundred twenty thousand, two hundred eleven".