10002001120200 has 288 divisors, whose sum is σ = 34520520177000. Its totient is φ = 2593411706880.

The previous prime is 10002001120169. The next prime is 10002001120201. The reversal of 10002001120200 is 202110020001.

It can be written as a sum of positive squares in 12 ways, for example, as 3385695680676 + 6616305439524 = 1840026^2 + 2572218^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10002001120201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103114924 + ... + 103211876.

Almost surely, 2^{10002001120200} is an apocalyptic number.

10002001120200 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 10002001120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260260088500).

10002001120200 is an abundant number, since it is smaller than the sum of its proper divisors (24518519056800).

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

10002001120200 is a wasteful number, since it uses less digits than its factorization.

10002001120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98561 (or 98549 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002001120200 its reverse (202110020001), we get a palindrome (10204111140201).

The spelling of 10002001120200 in words is "ten trillion, two billion, one million, one hundred twenty thousand, two hundred".