200010210121120 has 288 divisors, whose sum is σ = 570984682902480. Its totient is φ = 65935526952960.

The previous prime is 200010210121063. The next prime is 200010210121133. The reversal of 200010210121120 is 21121012010002.

It can be written as a sum of positive squares in 8 ways, for example, as 161994550933264 + 38015659187856 = 12727708^2 + 6165684^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 200010210121120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52968642 + ... + 56618878.

Almost surely, 2^{200010210121120} is an apocalyptic number.

200010210121120 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 200010210121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285492341451240).

200010210121120 is an abundant number, since it is smaller than the sum of its proper divisors (370974472781360).

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

200010210121120 is a wasteful number, since it uses less digits than its factorization.

200010210121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650536 (or 3650521 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 200010210121120 its reverse (21121012010002), we get a palindrome (221131222131122).

The spelling of 200010210121120 in words is "two hundred trillion, ten billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".