211201211021000 has 128 divisors (see below), whose sum is σ = 510715648834560. Its totient is φ = 81665158464000.

The previous prime is 211201211020991. The next prime is 211201211021039. The reversal of 211201211021000 is 120112102112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24361244 + ... + 31872756.

It is an arithmetic number, because the mean of its divisors is an integer number (3989966006520).

Almost surely, 2^{211201211021000} is an apocalyptic number.

211201211021000 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 211201211021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255357824417280).

211201211021000 is an abundant number, since it is smaller than the sum of its proper divisors (299514437813560).

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

211201211021000 is a wasteful number, since it uses less digits than its factorization.

211201211021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512472 (or 7512458 counting only the distinct ones).

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

Adding to 211201211021000 its reverse (120112102112), we get a palindrome (211321323123112).

The spelling of 211201211021000 in words is "two hundred eleven trillion, two hundred one billion, two hundred eleven million, twenty-one thousand".