10211132233000 has 128 divisors (see below), whose sum is σ = 24958759288320. Its totient is φ = 3902819289600.

The previous prime is 10211132232953. The next prime is 10211132233009. The reversal of 10211132233000 is 33223111201.

It is not an unprimeable number, because it can be changed into a prime (10211132233009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22011444 + ... + 22470556.

It is an arithmetic number, because the mean of its divisors is an integer number (194990306940).

Almost surely, 2^{10211132233000} is an apocalyptic number.

10211132233000 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 10211132233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479379644160).

10211132233000 is an abundant number, since it is smaller than the sum of its proper divisors (14747627055320).

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

10211132233000 is a wasteful number, since it uses less digits than its factorization.

10211132233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460124 (or 460110 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10211132233000 its reverse (33223111201), we get a palindrome (10244355344201).

The spelling of 10211132233000 in words is "ten trillion, two hundred eleven billion, one hundred thirty-two million, two hundred thirty-three thousand".