200120121010000 has 100 divisors (see below), whose sum is σ = 484742809912900. Its totient is φ = 80009721216000.

The previous prime is 200120121009997. The next prime is 200120121010031. The reversal of 200120121010000 is 10121021002.

It can be written as a sum of positive squares in 10 ways, for example, as 57356145211456 + 142763975798544 = 7573384^2 + 11948388^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16100146 + ... + 25679854.

It is an arithmetic number, because the mean of its divisors is an integer number (4847428099129).

Almost surely, 2^{200120121010000} is an apocalyptic number.

200120121010000 is a gapful number since it is divisible by the number (20) 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 200120121010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242371404956450).

200120121010000 is an abundant number, since it is smaller than the sum of its proper divisors (284622688902900).

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

200120121010000 is an equidigital number, since it uses as much as digits as its factorization.

200120121010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9581826 (or 9581805 counting only the distinct ones).

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

Adding to 200120121010000 its reverse (10121021002), we get a palindrome (200130242031002).

It can be divided in two parts, 20012012 and 1010000, that added together give a palindrome (21022012).

The spelling of 200120121010000 in words is "two hundred trillion, one hundred twenty billion, one hundred twenty-one million, ten thousand".