10121032033200 has 720 divisors, whose sum is σ = 39041594856576. Its totient is φ = 2407396147200.

The previous prime is 10121032033187. The next prime is 10121032033241. The reversal of 10121032033200 is 233023012101.

10121032033200 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 10 + 320 + 332 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 681864979 + ... + 681879821.

Almost surely, 2^{10121032033200} is an apocalyptic number.

10121032033200 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 10121032033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19520797428288).

10121032033200 is an abundant number, since it is smaller than the sum of its proper divisors (28920562823376).

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

10121032033200 is a wasteful number, since it uses less digits than its factorization.

10121032033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15202 (or 15188 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10121032033200 its reverse (233023012101), we get a palindrome (10354055045301).

The spelling of 10121032033200 in words is "ten trillion, one hundred twenty-one billion, thirty-two million, thirty-three thousand, two hundred".