2122112220221 has 16 divisors (see below), whose sum is σ = 2430079615488. Its totient is φ = 1815349374000.

The previous prime is 2122112220211. The next prime is 2122112220223. The reversal of 2122112220221 is 1220222112212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122112220221 is a prime.

It is a super-4 number, since 4×2122112220221⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2122112220193 and 2122112220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122112220223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10572446 + ... + 10771296.

It is an arithmetic number, because the mean of its divisors is an integer number (151879975968).

Almost surely, 2^{2122112220221} is an apocalyptic number.

It is an amenable number.

2122112220221 is a deficient number, since it is larger than the sum of its proper divisors (307967395267).

2122112220221 is a wasteful number, since it uses less digits than its factorization.

2122112220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201872.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2122112220221 its reverse (1220222112212), we get a palindrome (3342334332433).

The spelling of 2122112220221 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty thousand, two hundred twenty-one".