10201001012312 has 256 divisors, whose sum is σ = 22291393259520. Its totient is φ = 4330802995200.

The previous prime is 10201001012297. The next prime is 10201001012317. The reversal of 10201001012312 is 21321010010201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201001012317) 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 63 ways as a sum of consecutive naturals, for example, 17202362288 + ... + 17202362880.

It is an arithmetic number, because the mean of its divisors is an integer number (87075754920).

Almost surely, 2^{10201001012312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201001012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145696629760).

10201001012312 is an abundant number, since it is smaller than the sum of its proper divisors (12090392247208).

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

10201001012312 is a wasteful number, since it uses less digits than its factorization.

10201001012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10201001012312 its reverse (21321010010201), we get a palindrome (31522011022513).

The spelling of 10201001012312 in words is "ten trillion, two hundred one billion, one million, twelve thousand, three hundred twelve".