20100020200200 has 192 divisors, whose sum is σ = 69274965672000. Its totient is φ = 5356787627520.

The previous prime is 20100020200199. The next prime is 20100020200201. The reversal of 20100020200200 is 200202000102.

It is an interprime number because it is at equal distance from previous prime (20100020200199) and next prime (20100020200201).

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 (20100020200201) 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, 7885356 + ... + 10118244.

It is an arithmetic number, because the mean of its divisors is an integer number (360807112875).

Almost surely, 2^{20100020200200} is an apocalyptic number.

20100020200200 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 20100020200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34637482836000).

20100020200200 is an abundant number, since it is smaller than the sum of its proper divisors (49174945471800).

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

20100020200200 is a wasteful number, since it uses less digits than its factorization.

20100020200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234581 (or 2234566 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20100020200200 its reverse (200202000102), we get a palindrome (20300222200302).

The spelling of 20100020200200 in words is "twenty trillion, one hundred billion, twenty million, two hundred thousand, two hundred".