10501010001024 has 256 divisors, whose sum is σ = 29979735552000. Its totient is φ = 3246994612224.

The previous prime is 10501010001017. The next prime is 10501010001049. The reversal of 10501010001024 is 42010001010501.

It is a happy number.

It is a super-2 number, since 2×10501010001024² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10501010000994 and 10501010001012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66803929 + ... + 66960935.

It is an arithmetic number, because the mean of its divisors is an integer number (117108342000).

Almost surely, 2^{10501010001024} 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 10501010001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14989867776000).

10501010001024 is an abundant number, since it is smaller than the sum of its proper divisors (19478725550976).

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

10501010001024 is a wasteful number, since it uses less digits than its factorization.

10501010001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157235 (or 157223 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10501010001024 its reverse (42010001010501), we get a palindrome (52511011011525).

The spelling of 10501010001024 in words is "ten trillion, five hundred one billion, ten million, one thousand, twenty-four".