10223141001024 has 448 divisors, whose sum is σ = 31921905899520. Its totient is φ = 2826771333120.

The previous prime is 10223141001011. The next prime is 10223141001067. The reversal of 10223141001024 is 42010014132201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10223141001024² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7931062972 + ... + 7931064260.

It is an arithmetic number, because the mean of its divisors is an integer number (71254254240).

Almost surely, 2^{10223141001024} is an apocalyptic number.

10223141001024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223141001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960952949760).

10223141001024 is an abundant number, since it is smaller than the sum of its proper divisors (21698764898496).

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

10223141001024 is a wasteful number, since it uses less digits than its factorization.

10223141001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10223141001024 its reverse (42010014132201), we get a palindrome (52233155133225).

The spelling of 10223141001024 in words is "ten trillion, two hundred twenty-three billion, one hundred forty-one million, one thousand, twenty-four".