100110221012273 has 2 divisors, whose sum is σ = 100110221012274. Its totient is φ = 100110221012272.

The previous prime is 100110221012201. The next prime is 100110221012287. The reversal of 100110221012273 is 372210122011001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75828358370704 + 24281862641569 = 8707948^2 + 4927663^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110221012273 - 2¹² = 100110221008177 is a prime.

It is a super-2 number, since 2×100110221012273² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100110221014273) 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, 50055110506136 + 50055110506137.

It is an arithmetic number, because the mean of its divisors is an integer number (50055110506137).

Almost surely, 2^{100110221012273} is an apocalyptic number.

It is an amenable number.

100110221012273 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110221012273 is an equidigital number, since it uses as much as digits as its factorization.

100110221012273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 100110221012273 its reverse (372210122011001), we get a palindrome (472320343023274).

The spelling of 100110221012273 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-one million, twelve thousand, two hundred seventy-three".