20022100121993 has 2 divisors, whose sum is σ = 20022100121994. Its totient is φ = 20022100121992.

The previous prime is 20022100121929. The next prime is 20022100122047. The reversal of 20022100121993 is 39912100122002.

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., 12539615841424 + 7482484280569 = 3541132^2 + 2735413^2 .

It is a cyclic number.

It is not a de Polignac number, because 20022100121993 - 2⁶ = 20022100121929 is a prime.

It is a super-2 number, since 2×20022100121993² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20022100151993) 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, 10011050060996 + 10011050060997.

It is an arithmetic number, because the mean of its divisors is an integer number (10011050060997).

Almost surely, 2^{20022100121993} is an apocalyptic number.

It is an amenable number.

20022100121993 is a deficient number, since it is larger than the sum of its proper divisors (1).

20022100121993 is an equidigital number, since it uses as much as digits as its factorization.

20022100121993 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 20022100121993 its reverse (39912100122002), we get a palindrome (59934200243995).

The spelling of 20022100121993 in words is "twenty trillion, twenty-two billion, one hundred million, one hundred twenty-one thousand, nine hundred ninety-three".