10224101041000 has 512 divisors, whose sum is σ = 31250047795200. Its totient is φ = 3037858560000.

The previous prime is 10224101040977. The next prime is 10224101041039. The reversal of 10224101041000 is 14010142201.

It is a happy number.

10224101041000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159897036 + ... + 159960964.

It is an arithmetic number, because the mean of its divisors is an integer number (61035249600).

Almost surely, 2^{10224101041000} is an apocalyptic number.

10224101041000 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 10224101041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15625023897600).

10224101041000 is an abundant number, since it is smaller than the sum of its proper divisors (21025946754200).

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

10224101041000 is a wasteful number, since it uses less digits than its factorization.

10224101041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64066 (or 64052 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10224101041000 its reverse (14010142201), we get a palindrome (10238111183201).

The spelling of 10224101041000 in words is "ten trillion, two hundred twenty-four billion, one hundred one million, forty-one thousand".