10121100203200 has 168 divisors, whose sum is σ = 28474442956512. Its totient is φ = 3468571975680.

The previous prime is 10121100203191. The next prime is 10121100203209. The reversal of 10121100203200 is 230200112101.

It is an interprime number because it is at equal distance from previous prime (10121100203191) and next prime (10121100203209).

It is not an unprimeable number, because it can be changed into a prime (10121100203209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25529694 + ... + 25923106.

It is an arithmetic number, because the mean of its divisors is an integer number (169490731884).

Almost surely, 2^{10121100203200} is an apocalyptic number.

10121100203200 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 10121100203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14237221478256).

10121100203200 is an abundant number, since it is smaller than the sum of its proper divisors (18353342753312).

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

10121100203200 is a wasteful number, since it uses less digits than its factorization.

10121100203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395739 (or 395724 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10121100203200 its reverse (230200112101), we get a palindrome (10351300315301).

The spelling of 10121100203200 in words is "ten trillion, one hundred twenty-one billion, one hundred million, two hundred three thousand, two hundred".