10121311024 has 80 divisors (see below), whose sum is σ = 22212578304. Its totient is φ = 4426041600.

The previous prime is 10121311007. The next prime is 10121311027. The reversal of 10121311024 is 42011312101.

10121311024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10121310989 and 10121311007.

It is not an unprimeable number, because it can be changed into a prime (10121311027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938527 + ... + 949249.

Almost surely, 2^10121311024 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 10121311024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11106289152).

10121311024 is an abundant number, since it is smaller than the sum of its proper divisors (12091267280).

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

10121311024 is a wasteful number, since it uses less digits than its factorization.

10121311024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10946 (or 10940 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10121311024 its reverse (42011312101), we get a palindrome (52132623125).

The spelling of 10121311024 in words is "ten billion, one hundred twenty-one million, three hundred eleven thousand, twenty-four".