20122101011993 has 2 divisors, whose sum is σ = 20122101011994. Its totient is φ = 20122101011992.

The previous prime is 20122101011977. The next prime is 20122101012037. The reversal of 20122101011993 is 39911010122102.

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., 16617387532249 + 3504713479744 = 4076443^2 + 1872088^2 .

It is a cyclic number.

It is not a de Polignac number, because 20122101011993 - 2⁴ = 20122101011977 is a prime.

It is not a weakly prime, because it can be changed into another prime (20122101011963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10061050505996 + 10061050505997.

It is an arithmetic number, because the mean of its divisors is an integer number (10061050505997).

Almost surely, 2^{20122101011993} is an apocalyptic number.

It is an amenable number.

20122101011993 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122101011993 is an equidigital number, since it uses as much as digits as its factorization.

20122101011993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 32.

It can be divided in two parts, 2012210 and 1011993, that added together give a palindrome (3024203).

The spelling of 20122101011993 in words is "twenty trillion, one hundred twenty-two billion, one hundred one million, eleven thousand, nine hundred ninety-three".