211100110100000 has 576 divisors, whose sum is σ = 575866884910464. Its totient is φ = 75530880000000.

The previous prime is 211100110099939. The next prime is 211100110100063. The reversal of 211100110100000 is 1011001112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18109294172 + ... + 18109305828.

It is an arithmetic number, because the mean of its divisors is an integer number (999768897414).

Almost surely, 2^{211100110100000} is an apocalyptic number.

211100110100000 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 211100110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287933442455232).

211100110100000 is an abundant number, since it is smaller than the sum of its proper divisors (364766774810464).

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

211100110100000 is a wasteful number, since it uses less digits than its factorization.

211100110100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11967 (or 11939 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 211100110100000 its reverse (1011001112), we get a palindrome (211101121101112).

The spelling of 211100110100000 in words is "two hundred eleven trillion, one hundred billion, one hundred ten million, one hundred thousand".