10221201312 has 96 divisors (see below), whose sum is σ = 32467381632. Its totient is φ = 2748555264.

The previous prime is 10221201307. The next prime is 10221201349. The reversal of 10221201312 is 21310212201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10221201291 and 10221201300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435933 + ... + 458780.

It is an arithmetic number, because the mean of its divisors is an integer number (338201892).

Almost surely, 2^10221201312 is an apocalyptic number.

10221201312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221201312 is an abundant number, since it is smaller than the sum of its proper divisors (22246180320).

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

10221201312 is a wasteful number, since it uses less digits than its factorization.

10221201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894750 (or 894742 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10221201312 its reverse (21310212201), we get a palindrome (31531413513).

The spelling of 10221201312 in words is "ten billion, two hundred twenty-one million, two hundred one thousand, three hundred twelve".