10201244104200 has 192 divisors, whose sum is σ = 33580038240000. Its totient is φ = 2552975216640.

The previous prime is 10201244104193. The next prime is 10201244104201. The reversal of 10201244104200 is 240144210201.

It is not an unprimeable number, because it can be changed into a prime (10201244104201) 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, 2126961 + ... + 4992639.

It is an arithmetic number, because the mean of its divisors is an integer number (174896032500).

Almost surely, 2^{10201244104200} is an apocalyptic number.

10201244104200 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 10201244104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790019120000).

10201244104200 is an abundant number, since it is smaller than the sum of its proper divisors (23378794135800).

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

10201244104200 is a wasteful number, since it uses less digits than its factorization.

10201244104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866064 (or 2866055 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10201244104200 its reverse (240144210201), we get a palindrome (10441388314401).

The spelling of 10201244104200 in words is "ten trillion, two hundred one billion, two hundred forty-four million, one hundred four thousand, two hundred".