10211113332000 has 1728 divisors, whose sum is σ = 43752091874400. Its totient is φ = 2246952960000.

The previous prime is 10211113331957. The next prime is 10211113332029. The reversal of 10211113332000 is 23331111201.

10211113332000 is a `hidden beast` number, since 1 + 0 + 21 + 111 + 333 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 510155919504 + 9700957412496 = 714252^2 + 3114636^2 .

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

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 6592067226 + ... + 6592068774.

Almost surely, 2^{10211113332000} is an apocalyptic number.

10211113332000 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 10211113332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21876045937200).

10211113332000 is an abundant number, since it is smaller than the sum of its proper divisors (33540978542400).

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

10211113332000 is a wasteful number, since it uses less digits than its factorization.

10211113332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10211113332000 its reverse (23331111201), we get a palindrome (10234444443201).

The spelling of 10211113332000 in words is "ten trillion, two hundred eleven billion, one hundred thirteen million, three hundred thirty-two thousand".