10021233042 has 72 divisors (see below), whose sum is σ = 23617273680. Its totient is φ = 3062415600.

The previous prime is 10021233037. The next prime is 10021233059. The reversal of 10021233042 is 24033212001.

10021233042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10021233042² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 313417 + ... + 343907.

It is an arithmetic number, because the mean of its divisors is an integer number (328017690).

Almost surely, 2^10021233042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021233042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808636840).

10021233042 is an abundant number, since it is smaller than the sum of its proper divisors (13596040638).

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

10021233042 is a wasteful number, since it uses less digits than its factorization.

10021233042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30580 (or 30546 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10021233042 its reverse (24033212001), we get a palindrome (34054445043).

The spelling of 10021233042 in words is "ten billion, twenty-one million, two hundred thirty-three thousand, forty-two".