20002101120200 has 96 divisors (see below), whose sum is σ = 46807489128960. Its totient is φ = 7948828992000.

The previous prime is 20002101120187. The next prime is 20002101120223. The reversal of 20002101120200 is 202110120002.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65009924 + ... + 65316876.

It is an arithmetic number, because the mean of its divisors is an integer number (487578011760).

Almost surely, 2^{20002101120200} is an apocalyptic number.

20002101120200 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 20002101120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23403744564480).

20002101120200 is an abundant number, since it is smaller than the sum of its proper divisors (26805388008760).

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

20002101120200 is a wasteful number, since it uses less digits than its factorization.

20002101120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309087 (or 309078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20002101120200 its reverse (202110120002), we get a palindrome (20204211240202).

The spelling of 20002101120200 in words is "twenty trillion, two billion, one hundred one million, one hundred twenty thousand, two hundred".