1011021112205 has 24 divisors (see below), whose sum is σ = 1314541433160. Its totient is φ = 746138615040.

The previous prime is 1011021112169. The next prime is 1011021112207. The reversal of 1011021112205 is 5022111201101.

It can be written as a sum of positive squares in 12 ways, for example, as 595865117929 + 415155994276 = 771923^2 + 644326^2 .

It is not a de Polignac number, because 1011021112205 - 2¹⁸ = 1011020850061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011021112207) 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 in 23 ways as a sum of consecutive naturals, for example, 1000691 + ... + 1738799.

It is an arithmetic number, because the mean of its divisors is an integer number (54772559715).

Almost surely, 2^{1011021112205} is an apocalyptic number.

It is an amenable number.

1011021112205 is a deficient number, since it is larger than the sum of its proper divisors (303520320955).

1011021112205 is a wasteful number, since it uses less digits than its factorization.

1011021112205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739761 (or 739748 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 1011021112205 its reverse (5022111201101), we get a palindrome (6033132313306).

The spelling of 1011021112205 in words is "one trillion, eleven billion, twenty-one million, one hundred twelve thousand, two hundred five".