211100110101100 has 54 divisors (see below), whose sum is σ = 503517378345212. Its totient is φ = 76763676396000.

The previous prime is 211100110101061. The next prime is 211100110101121. The reversal of 211100110101100 is 1101011001112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8723132946 + ... + 8723157145.

Almost surely, 2^{211100110101100} is an apocalyptic number.

211100110101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100110101100 is an abundant number, since it is smaller than the sum of its proper divisors (292417268244112).

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

211100110101100 is a wasteful number, since it uses less digits than its factorization.

211100110101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17446290127 (or 17446290109 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 211100110101100 its reverse (1101011001112), we get a palindrome (212201121102212).

The spelling of 211100110101100 in words is "two hundred eleven trillion, one hundred billion, one hundred ten million, one hundred one thousand, one hundred".