211321110000 has 1600 divisors, whose sum is σ = 949635219456. Its totient is φ = 39052800000.

The previous prime is 211321109903. The next prime is 211321110001. The reversal of 211321110000 is 11123112.

It is a super-2 number, since 2×211321110000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211321110001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 930929887 + ... + 930930113.

Almost surely, 2^211321110000 is an apocalyptic number.

211321110000 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 211321110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474817609728).

211321110000 is an abundant number, since it is smaller than the sum of its proper divisors (738314109456).

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

211321110000 is a wasteful number, since it uses less digits than its factorization.

211321110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 211321110000 its reverse (11123112), we get a palindrome (211332233112).

The spelling of 211321110000 in words is "two hundred eleven billion, three hundred twenty-one million, one hundred ten thousand".