210011120101117 has 2 divisors, whose sum is σ = 210011120101118. Its totient is φ = 210011120101116.

The previous prime is 210011120101093. The next prime is 210011120101259. The reversal of 210011120101117 is 711101021110012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110177330978521 + 99833789122596 = 10496539^2 + 9991686^2 .

It is a cyclic number.

It is not a de Polignac number, because 210011120101117 - 2¹⁵ = 210011120068349 is a prime.

It is a super-2 number, since 2×210011120101117² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210011120101094 and 210011120101103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210011120102117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105005560050558 + 105005560050559.

It is an arithmetic number, because the mean of its divisors is an integer number (105005560050559).

Almost surely, 2^{210011120101117} is an apocalyptic number.

It is an amenable number.

210011120101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

210011120101117 is an equidigital number, since it uses as much as digits as its factorization.

210011120101117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 210011120101117 its reverse (711101021110012), we get a palindrome (921112141211129).

The spelling of 210011120101117 in words is "two hundred ten trillion, eleven billion, one hundred twenty million, one hundred one thousand, one hundred seventeen".