220212211121261 has 2 divisors, whose sum is σ = 220212211121262. Its totient is φ = 220212211121260.

The previous prime is 220212211121249. The next prime is 220212211121281. The reversal of 220212211121261 is 162121112212022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 215907934765636 + 4304276355625 = 14693806^2 + 2074675^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-220212211121261 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220212211121261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220212211121281) 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, 110106105560630 + 110106105560631.

It is an arithmetic number, because the mean of its divisors is an integer number (110106105560631).

Almost surely, 2^{220212211121261} is an apocalyptic number.

It is an amenable number.

220212211121261 is a deficient number, since it is larger than the sum of its proper divisors (1).

220212211121261 is an equidigital number, since it uses as much as digits as its factorization.

220212211121261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 220212211121261 its reverse (162121112212022), we get a palindrome (382333323333283).

The spelling of 220212211121261 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred eleven million, one hundred twenty-one thousand, two hundred sixty-one".