101022011002117 has 2 divisors, whose sum is σ = 101022011002118. Its totient is φ = 101022011002116.

The previous prime is 101022011002009. The next prime is 101022011002261. The reversal of 101022011002117 is 711200110220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99840983266116 + 1181027736001 = 9992046^2 + 1086751^2 .

It is an emirp because it is prime and its reverse (711200110220101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101022011002117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101022011002094 and 101022011002103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022011003117) 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, 50511005501058 + 50511005501059.

It is an arithmetic number, because the mean of its divisors is an integer number (50511005501059).

Almost surely, 2^{101022011002117} is an apocalyptic number.

It is an amenable number.

101022011002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022011002117 is an equidigital number, since it uses as much as digits as its factorization.

101022011002117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 101022011002117 its reverse (711200110220101), we get a palindrome (812222121222218).

The spelling of 101022011002117 in words is "one hundred one trillion, twenty-two billion, eleven million, two thousand, one hundred seventeen".