211120221101100 has 288 divisors, whose sum is σ = 619598365666560. Its totient is φ = 55494810792960.

The previous prime is 211120221101093. The next prime is 211120221101173. The reversal of 211120221101100 is 1101122021112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211120221101100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27104916006 + ... + 27104923794.

It is an arithmetic number, because the mean of its divisors is an integer number (2151383214120).

Almost surely, 2^{211120221101100} is an apocalyptic number.

211120221101100 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 211120221101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309799182833280).

211120221101100 is an abundant number, since it is smaller than the sum of its proper divisors (408478144565460).

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

211120221101100 is a wasteful number, since it uses less digits than its factorization.

211120221101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10209 (or 10202 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211120221101100 its reverse (1101122021112), we get a palindrome (212221343122212).

The spelling of 211120221101100 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred twenty-one million, one hundred one thousand, one hundred".