10234221032000 has 224 divisors, whose sum is σ = 28970212068096. Its totient is φ = 3508337664000.

The previous prime is 10234221031981. The next prime is 10234221032041. The reversal of 10234221032000 is 23012243201.

10234221032000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10234221032000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577967147 + ... + 577984853.

Almost surely, 2^{10234221032000} is an apocalyptic number.

10234221032000 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 10234221032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14485106034048).

10234221032000 is an abundant number, since it is smaller than the sum of its proper divisors (18735991036096).

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

10234221032000 is a wasteful number, since it uses less digits than its factorization.

10234221032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28062 (or 28042 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10234221032000 its reverse (23012243201), we get a palindrome (10257233275201).

The spelling of 10234221032000 in words is "ten trillion, two hundred thirty-four billion, two hundred twenty-one million, thirty-two thousand".