2112121022201 has 2 divisors, whose sum is σ = 2112121022202. Its totient is φ = 2112121022200.

The previous prime is 2112121022183. The next prime is 2112121022287. The reversal of 2112121022201 is 1022201212112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1805314704400 + 306806317801 = 1343620^2 + 553901^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112121022201 - 2²² = 2112116827897 is a prime.

It is a super-2 number, since 2×2112121022201² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112121022201.

It is not a weakly prime, because it can be changed into another prime (2112121052201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056060511100 + 1056060511101.

It is an arithmetic number, because the mean of its divisors is an integer number (1056060511101).

Almost surely, 2^{2112121022201} is an apocalyptic number.

It is an amenable number.

2112121022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112121022201 is an equidigital number, since it uses as much as digits as its factorization.

2112121022201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2112121022201 its reverse (1022201212112), we get a palindrome (3134322234313).

The spelling of 2112121022201 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, twenty-two thousand, two hundred one".