1002123221441 has 2 divisors, whose sum is σ = 1002123221442. Its totient is φ = 1002123221440.

The previous prime is 1002123221423. The next prime is 1002123221503. The reversal of 1002123221441 is 1441223212001.

1002123221441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 899991845041 + 102131376400 = 948679^2 + 319580^2 .

It is an emirp because it is prime and its reverse (1441223212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002123221441 - 2²² = 1002119027137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002123221401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501061610720 + 501061610721.

It is an arithmetic number, because the mean of its divisors is an integer number (501061610721).

Almost surely, 2^{1002123221441} is an apocalyptic number.

It is an amenable number.

1002123221441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002123221441 is an equidigital number, since it uses as much as digits as its factorization.

1002123221441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1002123221441 its reverse (1441223212001), we get a palindrome (2443346433442).

The spelling of 1002123221441 in words is "one trillion, two billion, one hundred twenty-three million, two hundred twenty-one thousand, four hundred forty-one".