10135045301024 has 96 divisors (see below), whose sum is σ = 24007104414720. Its totient is φ = 4114457987328.

The previous prime is 10135045301023. The next prime is 10135045301047. The reversal of 10135045301024 is 42010354053101.

It is not an unprimeable number, because it can be changed into a prime (10135045301023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34271039 + ... + 34565505.

It is an arithmetic number, because the mean of its divisors is an integer number (250074004320).

Almost surely, 2^{10135045301024} is an apocalyptic number.

10135045301024 is a gapful number since it is divisible by the number (14) 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 10135045301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12003552207360).

10135045301024 is an abundant number, since it is smaller than the sum of its proper divisors (13872059113696).

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

10135045301024 is a wasteful number, since it uses less digits than its factorization.

10135045301024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302590 (or 302582 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 10135045301024 its reverse (42010354053101), we get a palindrome (52145399354125).

The spelling of 10135045301024 in words is "ten trillion, one hundred thirty-five billion, forty-five million, three hundred one thousand, twenty-four".