10211033403200 has 504 divisors, whose sum is σ = 30250108791000. Its totient is φ = 3380222361600.

The previous prime is 10211033403133. The next prime is 10211033403203. The reversal of 10211033403200 is 230433011201.

It can be written as a sum of positive squares in 12 ways, for example, as 6947779026496 + 3263254376704 = 2635864^2 + 1806448^2 .

It is a super-2 number, since 2×10211033403200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211033403203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 311780426 + ... + 311813174.

It is an arithmetic number, because the mean of its divisors is an integer number (60020057125).

Almost surely, 2^{10211033403200} is an apocalyptic number.

10211033403200 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 10211033403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15125054395500).

10211033403200 is an abundant number, since it is smaller than the sum of its proper divisors (20039075387800).

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

10211033403200 is a wasteful number, since it uses less digits than its factorization.

10211033403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32923 (or 32901 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10211033403200 its reverse (230433011201), we get a palindrome (10441466414401).

The spelling of 10211033403200 in words is "ten trillion, two hundred eleven billion, thirty-three million, four hundred three thousand, two hundred".