10121353200 has 360 divisors, whose sum is σ = 42256323200. Its totient is φ = 2191587840.

The previous prime is 10121353183. The next prime is 10121353211. The reversal of 10121353200 is 235312101.

10121353200 is a `hidden beast` number, since 10 + 121 + 3 + 532 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 468231 + ... + 489369.

Almost surely, 2^10121353200 is an apocalyptic number.

10121353200 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 10121353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21128161600).

10121353200 is an abundant number, since it is smaller than the sum of its proper divisors (32134970000).

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

10121353200 is a wasteful number, since it uses less digits than its factorization.

10121353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21189 (or 21175 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10121353200 its reverse (235312101), we get a palindrome (10356665301).

The spelling of 10121353200 in words is "ten billion, one hundred twenty-one million, three hundred fifty-three thousand, two hundred".