211201201001000 has 256 divisors, whose sum is σ = 577616477967360. Its totient is φ = 70787843481600.

The previous prime is 211201201000949. The next prime is 211201201001017. The reversal of 211201201001000 is 100102102112.

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 63 ways as a sum of consecutive naturals, for example, 55914197 + ... + 59571803.

It is an arithmetic number, because the mean of its divisors is an integer number (2256314367060).

Almost surely, 2^{211201201001000} is an apocalyptic number.

211201201001000 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 211201201001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288808238983680).

211201201001000 is an abundant number, since it is smaller than the sum of its proper divisors (366415276966360).

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

211201201001000 is a wasteful number, since it uses less digits than its factorization.

211201201001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657821 (or 3657807 counting only the distinct ones).

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

Adding to 211201201001000 its reverse (100102102112), we get a palindrome (211301303103112).

The spelling of 211201201001000 in words is "two hundred eleven trillion, two hundred one billion, two hundred one million, one thousand".