211102201100000 has 144 divisors (see below), whose sum is σ = 593686944166176. Its totient is φ = 72377897280000.

The previous prime is 211102201099973. The next prime is 211102201100027. The reversal of 211102201100000 is 1102201112.

It is an interprime number because it is at equal distance from previous prime (211102201099973) and next prime (211102201100027).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150087287 + ... + 151487286.

It is an arithmetic number, because the mean of its divisors is an integer number (4122826001154).

Almost surely, 2^{211102201100000} is an apocalyptic number.

211102201100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211102201100000 is an abundant number, since it is smaller than the sum of its proper divisors (382584743066176).

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

211102201100000 is an frugal number, since it uses more digits than its factorization.

211102201100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301574615 (or 301574587 counting only the distinct ones).

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

Adding to 211102201100000 its reverse (1102201112), we get a palindrome (211103303301112).

The spelling of 211102201100000 in words is "two hundred eleven trillion, one hundred two billion, two hundred one million, one hundred thousand".