101034003173 has 2 divisors, whose sum is σ = 101034003174. Its totient is φ = 101034003172.

The previous prime is 101034003041. The next prime is 101034003211. The reversal of 101034003173 is 371300430101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80682698209 + 20351304964 = 284047^2 + 142658^2 .

It is a cyclic number.

It is not a de Polignac number, because 101034003173 - 2¹⁴ = 101033986789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101034003673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50517001586 + 50517001587.

It is an arithmetic number, because the mean of its divisors is an integer number (50517001587).

Almost surely, 2^101034003173 is an apocalyptic number.

It is an amenable number.

101034003173 is a deficient number, since it is larger than the sum of its proper divisors (1).

101034003173 is an equidigital number, since it uses as much as digits as its factorization.

101034003173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

Adding to 101034003173 its reverse (371300430101), we get a palindrome (472334433274).

The spelling of 101034003173 in words is "one hundred one billion, thirty-four million, three thousand, one hundred seventy-three".