200211000112100 has 72 divisors (see below), whose sum is σ = 434705992426440. Its totient is φ = 80038671032320.

The previous prime is 200211000112093. The next prime is 200211000112133. The reversal of 200211000112100 is 1211000112002.

It can be written as a sum of positive squares in 12 ways, for example, as 13619170253056 + 186591829859044 = 3690416^2 + 13659862^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2379541232 + ... + 2379625368.

It is an arithmetic number, because the mean of its divisors is an integer number (6037583228145).

Almost surely, 2^{200211000112100} is an apocalyptic number.

200211000112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200211000112100 is an abundant number, since it is smaller than the sum of its proper divisors (234494992314340).

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

200211000112100 is a wasteful number, since it uses less digits than its factorization.

200211000112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97457 (or 97450 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200211000112100 its reverse (1211000112002), we get a palindrome (201422000224102).

The spelling of 200211000112100 in words is "two hundred trillion, two hundred eleven billion, one hundred twelve thousand, one hundred".