10121938200 has 480 divisors, whose sum is σ = 38890368000. Its totient is φ = 2419372800.

The previous prime is 10121938199. The next prime is 10121938207. The reversal of 10121938200 is 283912101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121938207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14077441 + ... + 14078159.

It is an arithmetic number, because the mean of its divisors is an integer number (81021600).

Almost surely, 2^10121938200 is an apocalyptic number.

10121938200 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 10121938200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19445184000).

10121938200 is an abundant number, since it is smaller than the sum of its proper divisors (28768429800).

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

10121938200 is a wasteful number, since it uses less digits than its factorization.

10121938200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10121938200 in words is "ten billion, one hundred twenty-one million, nine hundred thirty-eight thousand, two hundred".