211100301201000 has 256 divisors, whose sum is σ = 662196959424000. Its totient is φ = 55988987443200.

The previous prime is 211100301200963. The next prime is 211100301201029. The reversal of 211100301201000 is 102103001112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1819630996 + ... + 1819747004.

It is an arithmetic number, because the mean of its divisors is an integer number (2586706872750).

Almost surely, 2^{211100301201000} is an apocalyptic number.

211100301201000 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 211100301201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331098479712000).

211100301201000 is an abundant number, since it is smaller than the sum of its proper divisors (451096658223000).

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

211100301201000 is a wasteful number, since it uses less digits than its factorization.

211100301201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119309 (or 119295 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 211100301201000 its reverse (102103001112), we get a palindrome (211202404202112).

The spelling of 211100301201000 in words is "two hundred eleven trillion, one hundred billion, three hundred one million, two hundred one thousand".