101003120003117 has 2 divisors, whose sum is σ = 101003120003118. Its totient is φ = 101003120003116.

The previous prime is 101003120002979. The next prime is 101003120003129. The reversal of 101003120003117 is 711300021300101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93833048068516 + 7170071934601 = 9686746^2 + 2677699^2 .

It is a cyclic number.

It is not a de Polignac number, because 101003120003117 - 2¹⁴ = 101003119986733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101003120003717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501560001558 + 50501560001559.

It is an arithmetic number, because the mean of its divisors is an integer number (50501560001559).

Almost surely, 2^{101003120003117} is an apocalyptic number.

It is an amenable number.

101003120003117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101003120003117 is an equidigital number, since it uses as much as digits as its factorization.

101003120003117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 20.

Adding to 101003120003117 its reverse (711300021300101), we get a palindrome (812303141303218).

The spelling of 101003120003117 in words is "one hundred one trillion, three billion, one hundred twenty million, three thousand, one hundred seventeen".