10002000010200 has 768 divisors, whose sum is σ = 35740295331840. Its totient is φ = 2291804928000.

The previous prime is 10002000010183. The next prime is 10002000010231. The reversal of 10002000010200 is 201000020001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2005612107 + ... + 2005617093.

It is an arithmetic number, because the mean of its divisors is an integer number (46536842880).

Almost surely, 2^{10002000010200} is an apocalyptic number.

10002000010200 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 10002000010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17870147665920).

10002000010200 is an abundant number, since it is smaller than the sum of its proper divisors (25738295321640).

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

10002000010200 is a wasteful number, since it uses less digits than its factorization.

10002000010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10002000010200 its reverse (201000020001), we get a palindrome (10203000030201).

The spelling of 10002000010200 in words is "ten trillion, two billion, ten thousand, two hundred".