221002020211121 has 16 divisors (see below), whose sum is σ = 226831402573776. Its totient is φ = 215193563520000.

The previous prime is 221002020211069. The next prime is 221002020211163. The reversal of 221002020211121 is 121112020200122.

It can be written as a sum of positive squares in 8 ways, for example, as 145206452426896 + 75795567784225 = 12050164^2 + 8706065^2 .

It is a cyclic number.

It is not a de Polignac number, because 221002020211121 - 2³⁸ = 220727142304177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221002020211121.

It is not an unprimeable number, because it can be changed into a prime (221002020214121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1768222451 + ... + 1768347431.

It is an arithmetic number, because the mean of its divisors is an integer number (14176962660861).

Almost surely, 2^{221002020211121} is an apocalyptic number.

It is an amenable number.

221002020211121 is a deficient number, since it is larger than the sum of its proper divisors (5829382362655).

221002020211121 is a wasteful number, since it uses less digits than its factorization.

221002020211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208324.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221002020211121 its reverse (121112020200122), we get a palindrome (342114040411243).

The spelling of 221002020211121 in words is "two hundred twenty-one trillion, two billion, twenty million, two hundred eleven thousand, one hundred twenty-one".