11012132364221 has 32 divisors (see below), whose sum is σ = 12143317966560. Its totient is φ = 9942628663296.

The previous prime is 11012132364197. The next prime is 11012132364239. The reversal of 11012132364221 is 12246323121011.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3081360100 + 11009051004121 = 55510^2 + 3317989^2 .

It is a cyclic number.

It is not a de Polignac number, because 11012132364221 - 2¹⁸ = 11012132102077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012132364721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136287185 + ... + 136367961.

It is an arithmetic number, because the mean of its divisors is an integer number (379478686455).

Almost surely, 2^{11012132364221} is an apocalyptic number.

It is an amenable number.

11012132364221 is a deficient number, since it is larger than the sum of its proper divisors (1131185602339).

11012132364221 is a wasteful number, since it uses less digits than its factorization.

11012132364221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83873.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 11012132364221 its reverse (12246323121011), we get a palindrome (23258455485232).

The spelling of 11012132364221 in words is "eleven trillion, twelve billion, one hundred thirty-two million, three hundred sixty-four thousand, two hundred twenty-one".