10022002023024 has 160 divisors (see below), whose sum is σ = 29761014816000. Its totient is φ = 3225233846016.

The previous prime is 10022002023023. The next prime is 10022002023079. The reversal of 10022002023024 is 42032020022001.

It is a super-2 number, since 2×10022002023024² (a number of 27 digits) contains 22 as substring.

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 = 10022002022988 and 10022002023006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022002023023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263808159 + ... + 263846145.

It is an arithmetic number, because the mean of its divisors is an integer number (186006342600).

Almost surely, 2^{10022002023024} 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 10022002023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880507408000).

10022002023024 is an abundant number, since it is smaller than the sum of its proper divisors (19739012792976).

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

10022002023024 is a wasteful number, since it uses less digits than its factorization.

10022002023024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59092 (or 59080 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10022002023024 its reverse (42032020022001), we get a palindrome (52054022045025).

The spelling of 10022002023024 in words is "ten trillion, twenty-two billion, two million, twenty-three thousand, twenty-four".