10101112100173 has 2 divisors, whose sum is σ = 10101112100174. Its totient is φ = 10101112100172.

The previous prime is 10101112100159. The next prime is 10101112100231. The reversal of 10101112100173 is 37100121110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5625065245284 + 4476046854889 = 2371722^2 + 2115667^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101112100173 - 2²¹ = 10101110003021 is a prime.

It is a super-2 number, since 2×10101112100173² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10101112100173.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101119100173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050556050086 + 5050556050087.

It is an arithmetic number, because the mean of its divisors is an integer number (5050556050087).

Almost surely, 2^{10101112100173} is an apocalyptic number.

It is an amenable number.

10101112100173 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101112100173 is an equidigital number, since it uses as much as digits as its factorization.

10101112100173 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 19.

Adding to 10101112100173 its reverse (37100121110101), we get a palindrome (47201233210274).

The spelling of 10101112100173 in words is "ten trillion, one hundred one billion, one hundred twelve million, one hundred thousand, one hundred seventy-three".