2211102122121 has 24 divisors (see below), whose sum is σ = 3411612046440. Its totient is φ = 1375080677376.

The previous prime is 2211102122107. The next prime is 2211102122149. The reversal of 2211102122121 is 1212212011122.

2211102122121 is a `hidden beast` number, since 221 + 110 + 212 + 2 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66154412025 + 2144947710096 = 257205^2 + 1464564^2 .

It is not a de Polignac number, because 2211102122121 - 2¹⁵ = 2211102089353 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2211102122094 and 2211102122103.

It is not an unprimeable number, because it can be changed into a prime (2211102122101) 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 23 ways as a sum of consecutive naturals, for example, 63928056 + ... + 63962633.

It is an arithmetic number, because the mean of its divisors is an integer number (142150501935).

Almost surely, 2^{2211102122121} is an apocalyptic number.

It is an amenable number.

2211102122121 is a deficient number, since it is larger than the sum of its proper divisors (1200509924319).

2211102122121 is a wasteful number, since it uses less digits than its factorization.

2211102122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127890825 (or 127890822 counting only the distinct ones).

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

Adding to 2211102122121 its reverse (1212212011122), we get a palindrome (3423314133243).

The spelling of 2211102122121 in words is "two trillion, two hundred eleven billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty-one".