10221311312292 has 12 divisors (see below), whose sum is σ = 23849726395376. Its totient is φ = 3407103770760.

The previous prime is 10221311312279. The next prime is 10221311312299. The reversal of 10221311312292 is 29221311312201.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (10221311312299) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 425887971334 + ... + 425887971357.

Almost surely, 2^{10221311312292} is an apocalyptic number.

10221311312292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221311312292 is an abundant number, since it is smaller than the sum of its proper divisors (13628415083084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10221311312292 is a wasteful number, since it uses less digits than its factorization.

10221311312292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851775942698 (or 851775942696 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 10221311312292 its reverse (29221311312201), we get a palindrome (39442622624493).

The spelling of 10221311312292 in words is "ten trillion, two hundred twenty-one billion, three hundred eleven million, three hundred twelve thousand, two hundred ninety-two".