10221002574744 has 192 divisors, whose sum is σ = 27875535609600. Its totient is φ = 3121536158208.

The previous prime is 10221002574737. The next prime is 10221002574749. The reversal of 10221002574744 is 44747520012201.

It is a super-3 number, since 3×10221002574744³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221002574749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480231927 + ... + 480253209.

It is an arithmetic number, because the mean of its divisors is an integer number (145185081300).

Almost surely, 2^{10221002574744} 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 10221002574744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937767804800).

10221002574744 is an abundant number, since it is smaller than the sum of its proper divisors (17654533034856).

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

10221002574744 is a wasteful number, since it uses less digits than its factorization.

10221002574744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22194 (or 22177 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

Adding to 10221002574744 its reverse (44747520012201), we get a palindrome (54968522586945).

The spelling of 10221002574744 in words is "ten trillion, two hundred twenty-one billion, two million, five hundred seventy-four thousand, seven hundred forty-four".