20101321117 has 2 divisors, whose sum is σ = 20101321118. Its totient is φ = 20101321116.

The previous prime is 20101321091. The next prime is 20101321133. The reversal of 20101321117 is 71112310102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19045656036 + 1055665081 = 138006^2 + 32491^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101321117 - 2¹⁹ = 20100796829 is a prime.

It is a super-2 number, since 2×20101321117² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20101321094 and 20101321103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20101321157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050660558 + 10050660559.

It is an arithmetic number, because the mean of its divisors is an integer number (10050660559).

Almost surely, 2^20101321117 is an apocalyptic number.

It is an amenable number.

20101321117 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101321117 is an equidigital number, since it uses as much as digits as its factorization.

20101321117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 20101321117 its reverse (71112310102), we get a palindrome (91213631219).

The spelling of 20101321117 in words is "twenty billion, one hundred one million, three hundred twenty-one thousand, one hundred seventeen".