21110101112173 has 2 divisors, whose sum is σ = 21110101112174. Its totient is φ = 21110101112172.

The previous prime is 21110101112147. The next prime is 21110101112231. The reversal of 21110101112173 is 37121110101112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20968907789124 + 141193323049 = 4579182^2 + 375757^2 .

It is a cyclic number.

It is not a de Polignac number, because 21110101112173 - 2²⁹ = 21109564241261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21110101112123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555050556086 + 10555050556087.

It is an arithmetic number, because the mean of its divisors is an integer number (10555050556087).

Almost surely, 2^{21110101112173} is an apocalyptic number.

It is an amenable number.

21110101112173 is a deficient number, since it is larger than the sum of its proper divisors (1).

21110101112173 is an equidigital number, since it uses as much as digits as its factorization.

21110101112173 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 22.

Adding to 21110101112173 its reverse (37121110101112), we get a palindrome (58231211213285).

The spelling of 21110101112173 in words is "twenty-one trillion, one hundred ten billion, one hundred one million, one hundred twelve thousand, one hundred seventy-three".