10120132310200 has 192 divisors, whose sum is σ = 27483620176800. Its totient is φ = 3424656998400.

The previous prime is 10120132310153. The next prime is 10120132310203. The reversal of 10120132310200 is 201323102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120132310203) 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 47 ways as a sum of consecutive naturals, for example, 1808422 + ... + 4848778.

Almost surely, 2^{10120132310200} is an apocalyptic number.

10120132310200 is a gapful number since it is divisible by the number (10) 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 10120132310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13741810088400).

10120132310200 is an abundant number, since it is smaller than the sum of its proper divisors (17363487866600).

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

10120132310200 is a wasteful number, since it uses less digits than its factorization.

10120132310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040490 (or 3040481 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10120132310200 its reverse (201323102101), we get a palindrome (10321455412301).

The spelling of 10120132310200 in words is "ten trillion, one hundred twenty billion, one hundred thirty-two million, three hundred ten thousand, two hundred".