10201212331200 has 504 divisors, whose sum is σ = 41880351829680. Its totient is φ = 2327548723200.

The previous prime is 10201212331181. The next prime is 10201212331201. The reversal of 10201212331200 is 213321210201.

10201212331200 is a `hidden beast` number, since 10 + 2 + 0 + 121 + 2 + 331 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10201212331201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 798636 + ... + 4586964.

It is an arithmetic number, because the mean of its divisors is an integer number (83095936170).

Almost surely, 2^{10201212331200} is an apocalyptic number.

10201212331200 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 10201212331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20940175914840).

10201212331200 is an abundant number, since it is smaller than the sum of its proper divisors (31679139498480).

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

10201212331200 is a wasteful number, since it uses less digits than its factorization.

10201212331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788385 (or 3788367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10201212331200 its reverse (213321210201), we get a palindrome (10414533541401).

The spelling of 10201212331200 in words is "ten trillion, two hundred one billion, two hundred twelve million, three hundred thirty-one thousand, two hundred".