211100120 has 64 divisors (see below), whose sum is σ = 592185600. Its totient is φ = 65796480.

The previous prime is 211100117. The next prime is 211100129. The reversal of 211100120 is 21001112.

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

It is a junction number, because it is equal to n+sod(n) for n = 211100098 and 211100107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31190 + ... + 37349.

It is an arithmetic number, because the mean of its divisors is an integer number (9252900).

Almost surely, 2^211100120 is an apocalyptic number.

211100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100120 is an abundant number, since it is smaller than the sum of its proper divisors (381085480).

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

211100120 is a wasteful number, since it uses less digits than its factorization.

211100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68568 (or 68564 counting only the distinct ones).

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

The square root of 211100120 is about 14529.2849101392. The cubic root of 211100120 is about 595.4283289176.

Adding to 211100120 its reverse (21001112), we get a palindrome (232101232).

The spelling of 211100120 in words is "two hundred eleven million, one hundred thousand, one hundred twenty".