1001012033124 has 36 divisors (see below), whose sum is σ = 2679179266764. Its totient is φ = 314042990592.

The previous prime is 1001012033123. The next prime is 1001012033137. The reversal of 1001012033124 is 4213302101001.

It can be written as a sum of positive squares in 2 ways, for example, as 633666945024 + 367345088100 = 796032^2 + 606090^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1001012033097 and 1001012033106.

It is not an unprimeable number, because it can be changed into a prime (1001012033123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 817819677 + ... + 817820900.

It is an arithmetic number, because the mean of its divisors is an integer number (74421646299).

Almost surely, 2^{1001012033124} is an apocalyptic number.

It is an amenable number.

1001012033124 is an abundant number, since it is smaller than the sum of its proper divisors (1678167233640).

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

1001012033124 is a wasteful number, since it uses less digits than its factorization.

1001012033124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635640604 (or 1635640599 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1001012033124 its reverse (4213302101001), we get a palindrome (5214314134125).

The spelling of 1001012033124 in words is "one trillion, one billion, twelve million, thirty-three thousand, one hundred twenty-four".