10021432124000 has 384 divisors, whose sum is σ = 29186989977600. Its totient is φ = 3340984320000.

The previous prime is 10021432123991. The next prime is 10021432124023. The reversal of 10021432124000 is 42123412001.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 25722656 + ... + 26109344.

It is an arithmetic number, because the mean of its divisors is an integer number (76007786400).

Almost surely, 2^{10021432124000} is an apocalyptic number.

10021432124000 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 10021432124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593494988800).

10021432124000 is an abundant number, since it is smaller than the sum of its proper divisors (19165557853600).

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

10021432124000 is a wasteful number, since it uses less digits than its factorization.

10021432124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386775 (or 386757 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10021432124000 its reverse (42123412001), we get a palindrome (10063555536001).

The spelling of 10021432124000 in words is "ten trillion, twenty-one billion, four hundred thirty-two million, one hundred twenty-four thousand".