1010112211105 has 8 divisors (see below), whose sum is σ = 1212315906600. Its totient is φ = 807968933376.

The previous prime is 1010112211099. The next prime is 1010112211127. The reversal of 1010112211105 is 5011122110101.

It can be written as a sum of positive squares in 4 ways, for example, as 555571964689 + 454540246416 = 745367^2 + 674196^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010112211105 - 2⁷ = 1010112210977 is a prime.

It is a super-3 number, since 3×1010112211105³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15067650 + ... + 15134539.

It is an arithmetic number, because the mean of its divisors is an integer number (151539488325).

Almost surely, 2^{1010112211105} is an apocalyptic number.

It is an amenable number.

1010112211105 is a deficient number, since it is larger than the sum of its proper divisors (202203695495).

1010112211105 is an equidigital number, since it uses as much as digits as its factorization.

1010112211105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30208883.

The product of its (nonzero) digits is 20, while the sum is 16.

Adding to 1010112211105 its reverse (5011122110101), we get a palindrome (6021234321206).

The spelling of 1010112211105 in words is "one trillion, ten billion, one hundred twelve million, two hundred eleven thousand, one hundred five".