211201011000 has 192 divisors, whose sum is σ = 815839577280. Its totient is φ = 48274502400.

The previous prime is 211201010941. The next prime is 211201011029. The reversal of 211201011000 is 110102112.

It is a happy number.

211201011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1613199 + ... + 1739198.

It is an arithmetic number, because the mean of its divisors is an integer number (4249164465).

Almost surely, 2^211201011000 is an apocalyptic number.

211201011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201011000 is an abundant number, since it is smaller than the sum of its proper divisors (604638566280).

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

211201011000 is a wasteful number, since it uses less digits than its factorization.

211201011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352431 (or 3352414 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211201011000 its reverse (110102112), we get a palindrome (211311113112).

The spelling of 211201011000 in words is "two hundred eleven billion, two hundred one million, eleven thousand".