221021102101221 has 12 divisors (see below), whose sum is σ = 327881154468972. Its totient is φ = 143365039200576.

The previous prime is 221021102101211. The next prime is 221021102101231. The reversal of 221021102101221 is 122101201120122.

221021102101221 is a `hidden beast` number, since 2 + 21 + 0 + 211 + 0 + 210 + 1 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (221021102101211) and next prime (221021102101231).

It can be written as a sum of positive squares in 2 ways, for example, as 125347057222500 + 95674044878721 = 11195850^2 + 9781311^2 .

It is not a de Polignac number, because 221021102101221 - 2³⁵ = 220986742362853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221021102101194 and 221021102101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021102101211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331863516336 + ... + 331863517001.

It is an arithmetic number, because the mean of its divisors is an integer number (27323429539081).

Almost surely, 2^{221021102101221} is an apocalyptic number.

It is an amenable number.

221021102101221 is a deficient number, since it is larger than the sum of its proper divisors (106860052367751).

221021102101221 is a wasteful number, since it uses less digits than its factorization.

221021102101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663727033380 (or 663727033377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221021102101221 its reverse (122101201120122), we get a palindrome (343122303221343).

The spelling of 221021102101221 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred two million, one hundred one thousand, two hundred twenty-one".