20100001000200 has 192 divisors, whose sum is σ = 68116468838400. Its totient is φ = 4862554041600.

The previous prime is 20100001000133. The next prime is 20100001000207. The reversal of 20100001000200 is 200010000102.

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 not an unprimeable number, because it can be changed into a prime (20100001000207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17572 + ... + 6340371.

It is an arithmetic number, because the mean of its divisors is an integer number (354773275200).

Almost surely, 2^{20100001000200} is an apocalyptic number.

20100001000200 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 20100001000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34058234419200).

20100001000200 is an abundant number, since it is smaller than the sum of its proper divisors (48016467838200).

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

20100001000200 is a wasteful number, since it uses less digits than its factorization.

20100001000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6358452 (or 6358443 counting only the distinct ones).

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

Adding to 20100001000200 its reverse (200010000102), we get a palindrome (20300011000302).

The spelling of 20100001000200 in words is "twenty trillion, one hundred billion, one million, two hundred", and thus it is an aban number.