200212210101121 has 2 divisors, whose sum is σ = 200212210101122. Its totient is φ = 200212210101120.

The previous prime is 200212210101019. The next prime is 200212210101181. The reversal of 200212210101121 is 121101012212002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199717946265600 + 494263835521 = 14132160^2 + 703039^2 .

It is a cyclic number.

It is not a de Polignac number, because 200212210101121 - 2¹⁷ = 200212209970049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200212210101095 and 200212210101104.

It is not a weakly prime, because it can be changed into another prime (200212210101181) 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, 100106105050560 + 100106105050561.

It is an arithmetic number, because the mean of its divisors is an integer number (100106105050561).

Almost surely, 2^{200212210101121} is an apocalyptic number.

It is an amenable number.

200212210101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

200212210101121 is an equidigital number, since it uses as much as digits as its factorization.

200212210101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 200212210101121 its reverse (121101012212002), we get a palindrome (321313222313123).

The spelling of 200212210101121 in words is "two hundred trillion, two hundred twelve billion, two hundred ten million, one hundred one thousand, one hundred twenty-one".