101021220112117 has 2 divisors, whose sum is σ = 101021220112118. Its totient is φ = 101021220112116.

The previous prime is 101021220112069. The next prime is 101021220112121. The reversal of 101021220112117 is 711211022120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54935505598801 + 46085714513316 = 7411849^2 + 6788646^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021220112117 - 2¹⁵ = 101021220079349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101021220712117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510610056058 + 50510610056059.

It is an arithmetic number, because the mean of its divisors is an integer number (50510610056059).

Almost surely, 2^{101021220112117} is an apocalyptic number.

It is an amenable number.

101021220112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021220112117 is an equidigital number, since it uses as much as digits as its factorization.

101021220112117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 101021220112117 its reverse (711211022120101), we get a palindrome (812232242232218).

The spelling of 101021220112117 in words is "one hundred one trillion, twenty-one billion, two hundred twenty million, one hundred twelve thousand, one hundred seventeen".