200020012002100 has 288 divisors, whose sum is σ = 450091072327680. Its totient is φ = 77105074176000.

The previous prime is 200020012002073. The next prime is 200020012002121. The reversal of 200020012002100 is 1200210020002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105886717956 + ... + 105886719844.

It is an arithmetic number, because the mean of its divisors is an integer number (1562816223360).

Almost surely, 2^{200020012002100} is an apocalyptic number.

200020012002100 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 200020012002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225045536163840).

200020012002100 is an abundant number, since it is smaller than the sum of its proper divisors (250071060325580).

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

200020012002100 is a wasteful number, since it uses less digits than its factorization.

200020012002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200020012002100 its reverse (1200210020002), we get a palindrome (201220222022102).

The spelling of 200020012002100 in words is "two hundred trillion, twenty billion, twelve million, two thousand, one hundred".