101220212201221 has 2 divisors, whose sum is σ = 101220212201222. Its totient is φ = 101220212201220.

The previous prime is 101220212201209. The next prime is 101220212201233. The reversal of 101220212201221 is 122102212022101.

It is a balanced prime because it is at equal distance from previous prime (101220212201209) and next prime (101220212201233).

It can be written as a sum of positive squares in only one way, i.e., 101026822464100 + 193389737121 = 10051210^2 + 439761^2 .

It is a cyclic number.

It is not a de Polignac number, because 101220212201221 - 2²⁵ = 101220178646789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101220212201261) 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, 50610106100610 + 50610106100611.

It is an arithmetic number, because the mean of its divisors is an integer number (50610106100611).

Almost surely, 2^{101220212201221} is an apocalyptic number.

It is an amenable number.

101220212201221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220212201221 is an equidigital number, since it uses as much as digits as its factorization.

101220212201221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101220212201221 its reverse (122102212022101), we get a palindrome (223322424223322).

The spelling of 101220212201221 in words is "one hundred one trillion, two hundred twenty billion, two hundred twelve million, two hundred one thousand, two hundred twenty-one".