101012321117 has 2 divisors, whose sum is σ = 101012321118. Its totient is φ = 101012321116.

The previous prime is 101012321099. The next prime is 101012321143. The reversal of 101012321117 is 711123210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62757264196 + 38255056921 = 250514^2 + 195589^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012321117 - 2¹⁶ = 101012255581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012321167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506160558 + 50506160559.

It is an arithmetic number, because the mean of its divisors is an integer number (50506160559).

Almost surely, 2^101012321117 is an apocalyptic number.

It is an amenable number.

101012321117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012321117 is an equidigital number, since it uses as much as digits as its factorization.

101012321117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 101012321117 its reverse (711123210101), we get a palindrome (812135531218).

The spelling of 101012321117 in words is "one hundred one billion, twelve million, three hundred twenty-one thousand, one hundred seventeen".