20010000100200 has 576 divisors, whose sum is σ = 70652497950720. Its totient is φ = 4641305856000.

The previous prime is 20010000100183. The next prime is 20010000100213. The reversal of 20010000100200 is 200100001002.

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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1620630427 + ... + 1620642773.

It is an arithmetic number, because the mean of its divisors is an integer number (122660586720).

Almost surely, 2^{20010000100200} is an apocalyptic number.

20010000100200 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 20010000100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35326248975360).

20010000100200 is an abundant number, since it is smaller than the sum of its proper divisors (50642497850520).

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

20010000100200 is a wasteful number, since it uses less digits than its factorization.

20010000100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12586 (or 12488 counting only the distinct ones).

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

Adding to 20010000100200 its reverse (200100001002), we get a palindrome (20210100101202).

20010000100200 divided by its reverse (200100001002) gives a square (100 = 10²).

The spelling of 20010000100200 in words is "twenty trillion, ten billion, one hundred thousand, two hundred".