211101222110000 has 200 divisors, whose sum is σ = 516632477799504. Its totient is φ = 83527516800000.

The previous prime is 211101222109993. The next prime is 211101222110017. The reversal of 211101222110000 is 11222101112.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1103834387 + ... + 1104025613.

Almost surely, 2^{211101222110000} is an apocalyptic number.

211101222110000 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 211101222110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258316238899752).

211101222110000 is an abundant number, since it is smaller than the sum of its proper divisors (305531255689504).

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

211101222110000 is a wasteful number, since it uses less digits than its factorization.

211101222110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192449 (or 192428 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211101222110000 its reverse (11222101112), we get a palindrome (211112444211112).

The spelling of 211101222110000 in words is "two hundred eleven trillion, one hundred one billion, two hundred twenty-two million, one hundred ten thousand".