211102022001100 has 144 divisors (see below), whose sum is σ = 490497187420800. Its totient is φ = 78620985400320.

The previous prime is 211102022001089. The next prime is 211102022001113. The reversal of 211102022001100 is 1100220201112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451192884 + ... + 451660516.

It is an arithmetic number, because the mean of its divisors is an integer number (3406230468200).

Almost surely, 2^{211102022001100} is an apocalyptic number.

211102022001100 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 211102022001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245248593710400).

211102022001100 is an abundant number, since it is smaller than the sum of its proper divisors (279395165419700).

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

211102022001100 is a wasteful number, since it uses less digits than its factorization.

211102022001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471752 (or 471745 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211102022001100 its reverse (1100220201112), we get a palindrome (212202242202212).

The spelling of 211102022001100 in words is "two hundred eleven trillion, one hundred two billion, twenty-two million, one thousand, one hundred".