211200110000 has 100 divisors (see below), whose sum is σ = 557822021064. Its totient is φ = 76800000000.

The previous prime is 211200109969. The next prime is 211200110003. The reversal of 211200110000 is 11002112.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 211200110000.

It is not an unprimeable number, because it can be changed into a prime (211200110003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 850001 + ... + 1070000.

Almost surely, 2^211200110000 is an apocalyptic number.

211200110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200110000 is an abundant number, since it is smaller than the sum of its proper divisors (346621911064).

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

211200110000 is a wasteful number, since it uses less digits than its factorization.

211200110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920040 (or 1920019 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 211200110000 its reverse (11002112), we get a palindrome (211211112112).

It can be divided in two parts, 21 and 1200110000, that added together give a palindrome (1200110021).

The spelling of 211200110000 in words is "two hundred eleven billion, two hundred million, one hundred ten thousand".