101211012122117 has 2 divisors, whose sum is σ = 101211012122118. Its totient is φ = 101211012122116.

The previous prime is 101211012122107. The next prime is 101211012122147. The reversal of 101211012122117 is 711221210112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100846062021796 + 364950100321 = 10042214^2 + 604111^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211012122117 - 2²⁰ = 101211011073541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211012122092 and 101211012122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211012122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605506061058 + 50605506061059.

It is an arithmetic number, because the mean of its divisors is an integer number (50605506061059).

Almost surely, 2^{101211012122117} is an apocalyptic number.

It is an amenable number.

101211012122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211012122117 is an equidigital number, since it uses as much as digits as its factorization.

101211012122117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 23.

Adding to 101211012122117 its reverse (711221210112101), we get a palindrome (812432222234218).

The spelling of 101211012122117 in words is "one hundred one trillion, two hundred eleven billion, twelve million, one hundred twenty-two thousand, one hundred seventeen".