101021117 has 2 divisors, whose sum is σ = 101021118. Its totient is φ = 101021116.

The previous prime is 101021099. The next prime is 101021131. The reversal of 101021117 is 711120101.

It is an a-pointer prime, because the next prime (101021131) can be obtained adding 101021117 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., 99780121 + 1240996 = 9989^2 + 1114^2 .

It is an emirp because it is prime and its reverse (711120101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101021117 - 2⁸ = 101020861 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 (101021177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510558 + 50510559.

It is an arithmetic number, because the mean of its divisors is an integer number (50510559).

Almost surely, 2^101021117 is an apocalyptic number.

It is an amenable number.

101021117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021117 is an equidigital number, since it uses as much as digits as its factorization.

101021117 is an odious number, because the sum of its binary digits is odd.

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

The square root of 101021117 is about 10050.9261762287. The cubic root of 101021117 is about 465.7334046473.

Adding to 101021117 its reverse (711120101), we get a palindrome (812141218).

The spelling of 101021117 in words is "one hundred one million, twenty-one thousand, one hundred seventeen".