101211011110117 has 2 divisors, whose sum is σ = 101211011110118. Its totient is φ = 101211011110116.

The previous prime is 101211011110037. The next prime is 101211011110129. The reversal of 101211011110117 is 711011110112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98088601952961 + 3122409157156 = 9903969^2 + 1767034^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211011110117 - 2¹¹ = 101211011108069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211011110094 and 101211011110103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211011110217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605505555058 + 50605505555059.

It is an arithmetic number, because the mean of its divisors is an integer number (50605505555059).

Almost surely, 2^{101211011110117} is an apocalyptic number.

It is an amenable number.

101211011110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211011110117 is an equidigital number, since it uses as much as digits as its factorization.

101211011110117 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 19.

Adding to 101211011110117 its reverse (711011110112101), we get a palindrome (812222121222218).

The spelling of 101211011110117 in words is "one hundred one trillion, two hundred eleven billion, eleven million, one hundred ten thousand, one hundred seventeen".