2101122211221 has 12 divisors (see below), whose sum is σ = 3310859242080. Its totient is φ = 1273407400680.

The previous prime is 2101122211187. The next prime is 2101122211229. The reversal of 2101122211221 is 1221122211012.

2101122211221 is a `hidden beast` number, since 210 + 1 + 1 + 22 + 211 + 221 = 666.

It is not a de Polignac number, because 2101122211221 - 2⁶ = 2101122211157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101122211194 and 2101122211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101122211229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10611728241 + ... + 10611728438.

It is an arithmetic number, because the mean of its divisors is an integer number (275904936840).

Almost surely, 2^{2101122211221} is an apocalyptic number.

It is an amenable number.

2101122211221 is a deficient number, since it is larger than the sum of its proper divisors (1209737030859).

2101122211221 is a wasteful number, since it uses less digits than its factorization.

2101122211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21223456696 (or 21223456693 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2101122211221 its reverse (1221122211012), we get a palindrome (3322244422233).

The spelling of 2101122211221 in words is "two trillion, one hundred one billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty-one".