211120100000 has 144 divisors (see below), whose sum is σ = 520457922936. Its totient is φ = 84295680000.

The previous prime is 211120099999. The next prime is 211120100011. The reversal of 211120100000 is 1021112.

It can be written as a sum of positive squares in 12 ways, for example, as 41741758864 + 169378341136 = 204308^2 + 411556^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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 23 ways as a sum of consecutive naturals, for example, 67298432 + ... + 67301568.

Almost surely, 2^211120100000 is an apocalyptic number.

211120100000 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 211120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260228961468).

211120100000 is an abundant number, since it is smaller than the sum of its proper divisors (309337822936).

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

211120100000 is an frugal number, since it uses more digits than its factorization.

211120100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 211120100000 its reverse (1021112), we get a palindrome (211121121112).

The spelling of 211120100000 in words is "two hundred eleven billion, one hundred twenty million, one hundred thousand".