211120101 has 24 divisors (see below), whose sum is σ = 318782464. Its totient is φ = 139618080.

The previous prime is 211120079. The next prime is 211120109. The reversal of 211120101 is 101021112.

It is a happy number.

It is not a de Polignac number, because 211120101 - 2⁵ = 211120069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120109) by changing a digit.

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, 27441 + ... + 34281.

Almost surely, 2^211120101 is an apocalyptic number.

It is an amenable number.

211120101 is a deficient number, since it is larger than the sum of its proper divisors (107662363).

211120101 is an equidigital number, since it uses as much as digits as its factorization.

211120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 211120101 is about 14529.9725051357. The cubic root of 211120101 is about 595.4471144400.

Adding to 211120101 its reverse (101021112), we get a palindrome (312141213).

The spelling of 211120101 in words is "two hundred eleven million, one hundred twenty thousand, one hundred one".