10332101441000 has 128 divisors (see below), whose sum is σ = 25639140159360. Its totient is φ = 3883678848000.

The previous prime is 10332101440981. The next prime is 10332101441027. The reversal of 10332101441000 is 14410123301.

10332101441000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10332101441000² (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, 10458395 + ... + 11403605.

It is an arithmetic number, because the mean of its divisors is an integer number (200305782495).

Almost surely, 2^{10332101441000} is an apocalyptic number.

10332101441000 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 10332101441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819570079680).

10332101441000 is an abundant number, since it is smaller than the sum of its proper divisors (15307038718360).

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

10332101441000 is a wasteful number, since it uses less digits than its factorization.

10332101441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945892 (or 945878 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10332101441000 its reverse (14410123301), we get a palindrome (10346511564301).

The spelling of 10332101441000 in words is "ten trillion, three hundred thirty-two billion, one hundred one million, four hundred forty-one thousand".