1005311102212 has 12 divisors (see below), whose sum is σ = 1792488663756. Its totient is φ = 493171484000.

The previous prime is 1005311102203. The next prime is 1005311102219. The reversal of 1005311102212 is 2122011135001.

It can be written as a sum of positive squares in 2 ways, for example, as 742382131456 + 262928970756 = 861616^2 + 512766^2 .

It is a super-2 number, since 2×1005311102212² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005311102212.

It is not an unprimeable number, because it can be changed into a prime (1005311102219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2371016539 + ... + 2371016962.

It is an arithmetic number, because the mean of its divisors is an integer number (149374055313).

Almost surely, 2^{1005311102212} is an apocalyptic number.

It is an amenable number.

1005311102212 is a deficient number, since it is larger than the sum of its proper divisors (787177561544).

1005311102212 is a wasteful number, since it uses less digits than its factorization.

1005311102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742033558 (or 4742033556 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 1005311102212 its reverse (2122011135001), we get a palindrome (3127322237213).

The spelling of 1005311102212 in words is "one trillion, five billion, three hundred eleven million, one hundred two thousand, two hundred twelve".