211210100120000 has 280 divisors, whose sum is σ = 525462827070720. Its totient is φ = 84205180800000.

The previous prime is 211210100119979. The next prime is 211210100120017. The reversal of 211210100120000 is 21001012112.

It is a congruent number.

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, 36098117075 + ... + 36098122925.

It is an arithmetic number, because the mean of its divisors is an integer number (1876652953824).

Almost surely, 2^{211210100120000} is an apocalyptic number.

211210100120000 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 211210100120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262731413535360).

211210100120000 is an abundant number, since it is smaller than the sum of its proper divisors (314252726950720).

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

211210100120000 is an equidigital number, since it uses as much as digits as its factorization.

211210100120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8709 (or 8684 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211210100120000 its reverse (21001012112), we get a palindrome (211231101132112).

The spelling of 211210100120000 in words is "two hundred eleven trillion, two hundred ten billion, one hundred million, one hundred twenty thousand".