10022100211117 has 2 divisors, whose sum is σ = 10022100211118. Its totient is φ = 10022100211116.

The previous prime is 10022100211037. The next prime is 10022100211133. The reversal of 10022100211117 is 71111200122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8773005629476 + 1249094581641 = 2961926^2 + 1117629^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022100211117 - 2³¹ = 10019952727469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022100211094 and 10022100211103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022100211187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011050105558 + 5011050105559.

It is an arithmetic number, because the mean of its divisors is an integer number (5011050105559).

Almost surely, 2^{10022100211117} is an apocalyptic number.

It is an amenable number.

10022100211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022100211117 is an equidigital number, since it uses as much as digits as its factorization.

10022100211117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 10022100211117 its reverse (71111200122001), we get a palindrome (81133300333118).

The spelling of 10022100211117 in words is "ten trillion, twenty-two billion, one hundred million, two hundred eleven thousand, one hundred seventeen".