1002022122121 has 2 divisors, whose sum is σ = 1002022122122. Its totient is φ = 1002022122120.

The previous prime is 1002022122097. The next prime is 1002022122139. The reversal of 1002022122121 is 1212212202001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 565788291721 + 436233830400 = 752189^2 + 660480^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002022122121 - 2¹⁵ = 1002022089353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002022122095 and 1002022122104.

It is not a weakly prime, because it can be changed into another prime (1002022122421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501011061060 + 501011061061.

It is an arithmetic number, because the mean of its divisors is an integer number (501011061061).

Almost surely, 2^{1002022122121} is an apocalyptic number.

It is an amenable number.

1002022122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002022122121 is an equidigital number, since it uses as much as digits as its factorization.

1002022122121 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 1002022122121 its reverse (1212212202001), we get a palindrome (2214234324122).

The spelling of 1002022122121 in words is "one trillion, two billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".