10132211113200 has 720 divisors, whose sum is σ = 39431504784672. Its totient is φ = 2387681280000.

The previous prime is 10132211113177. The next prime is 10132211113207. The reversal of 10132211113200 is 231111223101.

10132211113200 is a `hidden beast` number, since 1 + 0 + 1 + 322 + 11 + 11 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132211113207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1994134660 + ... + 1994139740.

Almost surely, 2^{10132211113200} is an apocalyptic number.

10132211113200 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 10132211113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19715752392336).

10132211113200 is an abundant number, since it is smaller than the sum of its proper divisors (29299293671472).

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

10132211113200 is a wasteful number, since it uses less digits than its factorization.

10132211113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514 (or 6500 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10132211113200 its reverse (231111223101), we get a palindrome (10363322336301).

The spelling of 10132211113200 in words is "ten trillion, one hundred thirty-two billion, two hundred eleven million, one hundred thirteen thousand, two hundred".