10201232000 has 256 divisors, whose sum is σ = 26548853760. Its totient is φ = 3893760000.

The previous prime is 10201231949. The next prime is 10201232003. The reversal of 10201232000 is 23210201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201232003) 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, 64975922 + ... + 64976078.

It is an arithmetic number, because the mean of its divisors is an integer number (103706460).

Almost surely, 2^10201232000 is an apocalyptic number.

10201232000 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 10201232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274426880).

10201232000 is an abundant number, since it is smaller than the sum of its proper divisors (16347621760).

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

10201232000 is a wasteful number, since it uses less digits than its factorization.

10201232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10201232000 its reverse (23210201), we get a palindrome (10224442201).

The spelling of 10201232000 in words is "ten billion, two hundred one million, two hundred thirty-two thousand".