10200121120000 has 720 divisors, whose sum is σ = 30849415027200. Its totient is φ = 3286932480000.

The previous prime is 10200121119989. The next prime is 10200121120001. The reversal of 10200121120000 is 2112100201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200121120001) 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 79 ways as a sum of consecutive naturals, for example, 2787678171 + ... + 2787681829.

It is an arithmetic number, because the mean of its divisors is an integer number (42846409760).

Almost surely, 2^{10200121120000} is an apocalyptic number.

10200121120000 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 10200121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15424707513600).

10200121120000 is an abundant number, since it is smaller than the sum of its proper divisors (20649293907200).

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

10200121120000 is an equidigital number, since it uses as much as digits as its factorization.

10200121120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10200121120000 its reverse (2112100201), we get a palindrome (10202233220201).

The spelling of 10200121120000 in words is "ten trillion, two hundred billion, one hundred twenty-one million, one hundred twenty thousand".