1000221121121 has 2 divisors, whose sum is σ = 1000221121122. Its totient is φ = 1000221121120.

The previous prime is 1000221121111. The next prime is 1000221121127. The reversal of 1000221121121 is 1211211220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 818416952896 + 181804168225 = 904664^2 + 426385^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000221121121 - 2¹⁸ = 1000220858977 is a prime.

It is a super-2 number, since 2×1000221121121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000221121096 and 1000221121105.

It is not a weakly prime, because it can be changed into another prime (1000221121127) 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 as a sum of consecutive naturals, namely, 500110560560 + 500110560561.

It is an arithmetic number, because the mean of its divisors is an integer number (500110560561).

Almost surely, 2^{1000221121121} is an apocalyptic number.

It is an amenable number.

1000221121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000221121121 is an equidigital number, since it uses as much as digits as its factorization.

1000221121121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1000221121121 its reverse (1211211220001), we get a palindrome (2211432341122).

The spelling of 1000221121121 in words is "one trillion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".