10221021431040 has 576 divisors, whose sum is σ = 37551057223680. Its totient is φ = 2320985456640.

The previous prime is 10221021431021. The next prime is 10221021431051. The reversal of 10221021431040 is 4013412012201.

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

It is a junction number, because it is equal to n+sod(n) for n = 10221021430998 and 10221021431016.

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, 2833660917 + ... + 2833664523.

It is an arithmetic number, because the mean of its divisors is an integer number (65192807680).

Almost surely, 2^{10221021431040} is an apocalyptic number.

10221021431040 is a gapful number since it is divisible by the number (10) 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 10221021431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775528611840).

10221021431040 is an abundant number, since it is smaller than the sum of its proper divisors (27330035792640).

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

10221021431040 is a wasteful number, since it uses less digits than its factorization.

10221021431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4284 counting only the distinct ones).

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

Adding to 10221021431040 its reverse (4013412012201), we get a palindrome (14234433443241).

The spelling of 10221021431040 in words is "ten trillion, two hundred twenty-one billion, twenty-one million, four hundred thirty-one thousand, forty".