211101112102000 has 80 divisors (see below), whose sum is σ = 510456284724672. Its totient is φ = 84438162681600.

The previous prime is 211101112101991. The next prime is 211101112102093. The reversal of 211101112102000 is 201211101112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73578397 + ... + 76393603.

Almost surely, 2^{211101112102000} is an apocalyptic number.

211101112102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101112102000 is an abundant number, since it is smaller than the sum of its proper divisors (299355172622672).

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

211101112102000 is a wasteful number, since it uses less digits than its factorization.

211101112102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852723 (or 2852707 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211101112102000 its reverse (201211101112), we get a palindrome (211302323203112).

The spelling of 211101112102000 in words is "two hundred eleven trillion, one hundred one billion, one hundred twelve million, one hundred two thousand".