110100110009873 has 2 divisors, whose sum is σ = 110100110009874. Its totient is φ = 110100110009872.

The previous prime is 110100110009837. The next prime is 110100110009887. The reversal of 110100110009873 is 378900011001011.

It is a happy number.

Together with previous prime (110100110009837) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91015645004944 + 19084465004929 = 9540212^2 + 4368577^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100110009873 - 2¹⁸ = 110100109747729 is a prime.

It is a super-2 number, since 2×110100110009873² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110100110009803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050055004936 + 55050055004937.

It is an arithmetic number, because the mean of its divisors is an integer number (55050055004937).

Almost surely, 2^{110100110009873} is an apocalyptic number.

It is an amenable number.

110100110009873 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100110009873 is an equidigital number, since it uses as much as digits as its factorization.

110100110009873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 32.

The spelling of 110100110009873 in words is "one hundred ten trillion, one hundred billion, one hundred ten million, nine thousand, eight hundred seventy-three".