1020201100200 has 144 divisors (see below), whose sum is σ = 3482342545500. Its totient is φ = 267593702400.

The previous prime is 1020201100181. The next prime is 1020201100211. The reversal of 1020201100200 is 20011020201.

1020201100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 225068643396 + 795132456804 = 474414^2 + 891702^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4535925 + ... + 4755524.

Almost surely, 2^{1020201100200} is an apocalyptic number.

1020201100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020201100200 is an abundant number, since it is smaller than the sum of its proper divisors (2462141445300).

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

1020201100200 is a wasteful number, since it uses less digits than its factorization.

1020201100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9291532 (or 9291520 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020201100200 its reverse (20011020201), we get a palindrome (1040212120401).

The spelling of 1020201100200 in words is "one trillion, twenty billion, two hundred one million, one hundred thousand, two hundred".