1020221120221 has 2 divisors, whose sum is σ = 1020221120222. Its totient is φ = 1020221120220.

The previous prime is 1020221120201. The next prime is 1020221120287. The reversal of 1020221120221 is 1220211220201.

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., 912808268100 + 107412852121 = 955410^2 + 327739^2 .

It is an emirp because it is prime and its reverse (1220211220201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1020221120221 - 2²¹ = 1020219023069 is a prime.

It is a super-2 number, since 2×1020221120221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020221120195 and 1020221120204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020221120201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510110560110 + 510110560111.

It is an arithmetic number, because the mean of its divisors is an integer number (510110560111).

Almost surely, 2^{1020221120221} is an apocalyptic number.

It is an amenable number.

1020221120221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020221120221 is an equidigital number, since it uses as much as digits as its factorization.

1020221120221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1020221120221 its reverse (1220211220201), we get a palindrome (2240432340422).

The spelling of 1020221120221 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twenty-one".