211102120 has 32 divisors (see below), whose sum is σ = 479691720. Its totient is φ = 83603200.

The previous prime is 211102097. The next prime is 211102121. The reversal of 211102120 is 21201112.

It can be written as a sum of positive squares in 4 ways, for example, as 196616484 + 14485636 = 14022^2 + 3806^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 211102097 and 211102106.

It is not an unprimeable number, because it can be changed into a prime (211102121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22087 + ... + 30166.

Almost surely, 2^211102120 is an apocalyptic number.

211102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211102120 is an abundant number, since it is smaller than the sum of its proper divisors (268589600).

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

211102120 is a wasteful number, since it uses less digits than its factorization.

211102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52365 (or 52361 counting only the distinct ones).

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

The square root of 211102120 is about 14529.3537364881. The cubic root of 211102120 is about 595.4302093096.

Adding to 211102120 its reverse (21201112), we get a palindrome (232303232).

The spelling of 211102120 in words is "two hundred eleven million, one hundred two thousand, one hundred twenty".