101001001000117 has 2 divisors, whose sum is σ = 101001001000118. Its totient is φ = 101001001000116.

The previous prime is 101001001000111. The next prime is 101001001000147. The reversal of 101001001000117 is 711000100100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76469445791761 + 24531555208356 = 8744681^2 + 4952934^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001001000117 - 2²³ = 101000992611509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001001000097 and 101001001000106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001001000111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500500500058 + 50500500500059.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500500059).

Almost surely, 2^{101001001000117} is an apocalyptic number.

It is an amenable number.

101001001000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001001000117 is an equidigital number, since it uses as much as digits as its factorization.

101001001000117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 101001001000117 its reverse (711000100100101), we get a palindrome (812001101100218).

The spelling of 101001001000117 in words is "one hundred one trillion, one billion, one million, one hundred seventeen", and thus it is an aban number.