101102212117 has 2 divisors, whose sum is σ = 101102212118. Its totient is φ = 101102212116.

The previous prime is 101102212063. The next prime is 101102212153. The reversal of 101102212117 is 711212201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58958638596 + 42143573521 = 242814^2 + 205289^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102212117 - 2¹⁵ = 101102179349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102212094 and 101102212103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101102212417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551106058 + 50551106059.

It is an arithmetic number, because the mean of its divisors is an integer number (50551106059).

Almost surely, 2^101102212117 is an apocalyptic number.

It is an amenable number.

101102212117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102212117 is an equidigital number, since it uses as much as digits as its factorization.

101102212117 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 101102212117 its reverse (711212201101), we get a palindrome (812314413218).

The spelling of 101102212117 in words is "one hundred one billion, one hundred two million, two hundred twelve thousand, one hundred seventeen".