1000102221121 has 2 divisors, whose sum is σ = 1000102221122. Its totient is φ = 1000102221120.

The previous prime is 1000102221113. The next prime is 1000102221149. The reversal of 1000102221121 is 1211222010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 995245664400 + 4856556721 = 997620^2 + 69689^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000102221121 - 2³ = 1000102221113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000102228121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500051110560 + 500051110561.

It is an arithmetic number, because the mean of its divisors is an integer number (500051110561).

Almost surely, 2^{1000102221121} is an apocalyptic number.

It is an amenable number.

1000102221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000102221121 is an equidigital number, since it uses as much as digits as its factorization.

1000102221121 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 13.

Adding to 1000102221121 its reverse (1211222010001), we get a palindrome (2211324231122).

The spelling of 1000102221121 in words is "one trillion, one hundred two million, two hundred twenty-one thousand, one hundred twenty-one".