1012211102205 has 24 divisors (see below), whose sum is σ = 1760104697208. Its totient is φ = 538121166336.

The previous prime is 1012211102191. The next prime is 1012211102207. The reversal of 1012211102205 is 5022011122101.

It can be written as a sum of positive squares in 4 ways, for example, as 219365721 + 1011991736484 = 14811^2 + 1005978^2 .

It is not a de Polignac number, because 1012211102205 - 2⁶ = 1012211102141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012211102207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35918152 + ... + 35946321.

It is an arithmetic number, because the mean of its divisors is an integer number (73337695717).

Almost surely, 2^{1012211102205} is an apocalyptic number.

1012211102205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1012211102205 is a deficient number, since it is larger than the sum of its proper divisors (747893595003).

1012211102205 is a wasteful number, since it uses less digits than its factorization.

1012211102205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71864797 (or 71864794 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 1012211102205 its reverse (5022011122101), we get a palindrome (6034222224306).

The spelling of 1012211102205 in words is "one trillion, twelve billion, two hundred eleven million, one hundred two thousand, two hundred five".