220211001211121 has 2 divisors, whose sum is σ = 220211001211122. Its totient is φ = 220211001211120.

The previous prime is 220211001211051. The next prime is 220211001211127. The reversal of 220211001211121 is 121112100112022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121740328960000 + 98470672251121 = 11033600^2 + 9923239^2 .

It is a cyclic number.

It is not a de Polignac number, because 220211001211121 - 2¹⁸ = 220211000948977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220211001211121.

It is not a weakly prime, because it can be changed into another prime (220211001211127) 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, 110105500605560 + 110105500605561.

It is an arithmetic number, because the mean of its divisors is an integer number (110105500605561).

Almost surely, 2^{220211001211121} is an apocalyptic number.

It is an amenable number.

220211001211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

220211001211121 is an equidigital number, since it uses as much as digits as its factorization.

220211001211121 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 17.

Adding to 220211001211121 its reverse (121112100112022), we get a palindrome (341323101323143).

The spelling of 220211001211121 in words is "two hundred twenty trillion, two hundred eleven billion, one million, two hundred eleven thousand, one hundred twenty-one".