10201200312 has 128 divisors (see below), whose sum is σ = 26953185600. Its totient is φ = 3212697600.

The previous prime is 10201200277. The next prime is 10201200323. The reversal of 10201200312 is 21300210201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10231398 + ... + 10232394.

Almost surely, 2^10201200312 is an apocalyptic number.

10201200312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476592800).

10201200312 is an abundant number, since it is smaller than the sum of its proper divisors (16751985288).

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

10201200312 is a wasteful number, since it uses less digits than its factorization.

10201200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10201200312 its reverse (21300210201), we get a palindrome (31501410513).

The spelling of 10201200312 in words is "ten billion, two hundred one million, two hundred thousand, three hundred twelve".