211201021000 has 64 divisors (see below), whose sum is σ = 494718522480. Its totient is φ = 84393548800.

The previous prime is 211201020977. The next prime is 211201021021. The reversal of 211201021000 is 120102112.

It can be written as a sum of positive squares in 8 ways, for example, as 17211865636 + 193989155364 = 131194^2 + 440442^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868914 + ... + 1085086.

Almost surely, 2^211201021000 is an apocalyptic number.

211201021000 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 211201021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247359261240).

211201021000 is an abundant number, since it is smaller than the sum of its proper divisors (283517501480).

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

211201021000 is a wasteful number, since it uses less digits than its factorization.

211201021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217171 (or 217157 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211201021000 its reverse (120102112), we get a palindrome (211321123112).

The spelling of 211201021000 in words is "two hundred eleven billion, two hundred one million, twenty-one thousand".