211200201121100 has 72 divisors (see below), whose sum is σ = 474228303800160. Its totient is φ = 81546283284480.

The previous prime is 211200201121037. The next prime is 211200201121139. The reversal of 211200201121100 is 1121102002112.

It is a super-3 number, since 3×211200201121100³ (a number of 44 digits) contains 333 as substring.

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, 2199644 + ... + 20669756.

Almost surely, 2^{211200201121100} is an apocalyptic number.

211200201121100 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 211200201121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237114151900080).

211200201121100 is an abundant number, since it is smaller than the sum of its proper divisors (263028102679060).

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

211200201121100 is a wasteful number, since it uses less digits than its factorization.

211200201121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18474099 (or 18474092 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211200201121100 its reverse (1121102002112), we get a palindrome (212321303123212).

The spelling of 211200201121100 in words is "two hundred eleven trillion, two hundred billion, two hundred one million, one hundred twenty-one thousand, one hundred".