211201112220221 has 8 divisors (see below), whose sum is σ = 211435198289400. Its totient is φ = 210967040655360.

The previous prime is 211201112220193. The next prime is 211201112220223. The reversal of 211201112220221 is 122022211102112.

It can be written as a sum of positive squares in 4 ways, for example, as 2557936416025 + 208643175804196 = 1599355^2 + 14444486^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211201112220221 is a prime.

It is a super-4 number, since 4×211201112220221⁴ (a number of 58 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211201112220193 and 211201112220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201112220223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25643411 + ... + 32863151.

It is an arithmetic number, because the mean of its divisors is an integer number (26429399786175).

Almost surely, 2^{211201112220221} is an apocalyptic number.

It is an amenable number.

211201112220221 is a deficient number, since it is larger than the sum of its proper divisors (234086069179).

211201112220221 is an equidigital number, since it uses as much as digits as its factorization.

211201112220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252159.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211201112220221 its reverse (122022211102112), we get a palindrome (333223323322333).

The spelling of 211201112220221 in words is "two hundred eleven trillion, two hundred one billion, one hundred twelve million, two hundred twenty thousand, two hundred twenty-one".