211132101 has 16 divisors (see below), whose sum is σ = 289808064. Its totient is φ = 136623744.

The previous prime is 211132091. The next prime is 211132109. The reversal of 211132101 is 101231112.

It is not a de Polignac number, because 211132101 - 2⁵ = 211132069 is a prime.

It is a super-3 number, since 3×211132101³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211132109) 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, 49801 + ... + 53873.

It is an arithmetic number, because the mean of its divisors is an integer number (18113004).

Almost surely, 2^211132101 is an apocalyptic number.

It is an amenable number.

211132101 is a deficient number, since it is larger than the sum of its proper divisors (78675963).

211132101 is a wasteful number, since it uses less digits than its factorization.

211132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 211132101 is about 14530.3854387969. The cubic root of 211132101 is about 595.4583959017.

Adding to 211132101 its reverse (101231112), we get a palindrome (312363213).

The spelling of 211132101 in words is "two hundred eleven million, one hundred thirty-two thousand, one hundred one".