100211117 has 2 divisors, whose sum is σ = 100211118. Its totient is φ = 100211116.

The previous prime is 100211101. The next prime is 100211131. The reversal of 100211117 is 711112001.

It is an a-pointer prime, because the next prime (100211131) can be obtained adding 100211117 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66814276 + 33396841 = 8174^2 + 5779^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211117 - 2⁴ = 100211101 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100211147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105558 + 50105559.

It is an arithmetic number, because the mean of its divisors is an integer number (50105559).

Almost surely, 2^100211117 is an apocalyptic number.

It is an amenable number.

100211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211117 is an equidigital number, since it uses as much as digits as its factorization.

100211117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 14.

The square root of 100211117 is about 10010.5502845748. The cubic root of 100211117 is about 464.4852932033.

Adding to 100211117 its reverse (711112001), we get a palindrome (811323118).

The spelling of 100211117 in words is "one hundred million, two hundred eleven thousand, one hundred seventeen".