10021534125024 has 96 divisors (see below), whose sum is σ = 26554144256640. Its totient is φ = 3309201464832.

The previous prime is 10021534125019. The next prime is 10021534125059. The reversal of 10021534125024 is 42052143512001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10021534125024² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10021534124982 and 10021534125000.

It is a congruent number.

It is an unprimeable number.

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, 3760882 + ... + 5846990.

It is an arithmetic number, because the mean of its divisors is an integer number (276605669340).

Almost surely, 2^{10021534125024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021534125024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277072128320).

10021534125024 is an abundant number, since it is smaller than the sum of its proper divisors (16532610131616).

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

10021534125024 is a wasteful number, since it uses less digits than its factorization.

10021534125024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086592 (or 2086584 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 10021534125024 its reverse (42052143512001), we get a palindrome (52073677637025).

The spelling of 10021534125024 in words is "ten trillion, twenty-one billion, five hundred thirty-four million, one hundred twenty-five thousand, twenty-four".