10020220121993 has 2 divisors, whose sum is σ = 10020220121994. Its totient is φ = 10020220121992.

The previous prime is 10020220121981. The next prime is 10020220122019. The reversal of 10020220121993 is 39912102202001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6028164173824 + 3992055948169 = 2455232^2 + 1998013^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020220121993 - 2³⁰ = 10019146380169 is a prime.

It is a super-2 number, since 2×10020220121993² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10020220121963) 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, 5010110060996 + 5010110060997.

It is an arithmetic number, because the mean of its divisors is an integer number (5010110060997).

Almost surely, 2^{10020220121993} is an apocalyptic number.

It is an amenable number.

10020220121993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020220121993 is an equidigital number, since it uses as much as digits as its factorization.

10020220121993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

Adding to 10020220121993 its reverse (39912102202001), we get a palindrome (49932322323994).

The spelling of 10020220121993 in words is "ten trillion, twenty billion, two hundred twenty million, one hundred twenty-one thousand, nine hundred ninety-three".