211001000000 has 392 divisors, whose sum is σ = 612925904448. Its totient is φ = 70560000000.

The previous prime is 211000999997. The next prime is 211001000053. The reversal of 211001000000 is 100112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 300999650 + ... + 301000350.

Almost surely, 2^211001000000 is an apocalyptic number.

211001000000 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 211001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306462952224).

211001000000 is an abundant number, since it is smaller than the sum of its proper divisors (401924904448).

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

211001000000 is an frugal number, since it uses more digits than its factorization.

211001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 211001000000 its reverse (100112), we get a palindrome (211001100112).

The spelling of 211001000000 in words is "two hundred eleven billion, one million", and thus it is an aban number.