211102110011000 has 128 divisors (see below), whose sum is σ = 559976124052800. Its totient is φ = 73843005196800.

The previous prime is 211102110010969. The next prime is 211102110011003. The reversal of 211102110011000 is 110011201112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211102110011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427085207 + ... + 427579206.

Almost surely, 2^{211102110011000} is an apocalyptic number.

211102110011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211102110011000 is an abundant number, since it is smaller than the sum of its proper divisors (348874014041800).

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

211102110011000 is a wasteful number, since it uses less digits than its factorization.

211102110011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854664466 (or 854664452 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211102110011000 its reverse (110011201112), we get a palindrome (211212121212112).

The spelling of 211102110011000 in words is "two hundred eleven trillion, one hundred two billion, one hundred ten million, eleven thousand".