10214200443020 has 192 divisors, whose sum is σ = 25738763904000. Its totient is φ = 3330904550400.

The previous prime is 10214200443011. The next prime is 10214200443023. The reversal of 10214200443020 is 2034400241201.

It is not an unprimeable number, because it can be changed into a prime (10214200443023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117562595 + ... + 117649445.

It is an arithmetic number, because the mean of its divisors is an integer number (134056062000).

Almost surely, 2^{10214200443020} is an apocalyptic number.

10214200443020 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 10214200443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869381952000).

10214200443020 is an abundant number, since it is smaller than the sum of its proper divisors (15524563460980).

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

10214200443020 is a wasteful number, since it uses less digits than its factorization.

10214200443020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87328 (or 87326 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10214200443020 its reverse (2034400241201), we get a palindrome (12248600684221).

The spelling of 10214200443020 in words is "ten trillion, two hundred fourteen billion, two hundred million, four hundred forty-three thousand, twenty".