212101101 has 24 divisors (see below), whose sum is σ = 330011136. Its totient is φ = 130885920.

The previous prime is 212101079. The next prime is 212101103. The reversal of 212101101 is 101101212.

It is a happy number.

It is not a de Polignac number, because 212101101 - 2¹¹ = 212099053 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10110 + ... + 22943.

It is an arithmetic number, because the mean of its divisors is an integer number (13750464).

Almost surely, 2^212101101 is an apocalyptic number.

It is an amenable number.

212101101 is a deficient number, since it is larger than the sum of its proper divisors (117910035).

212101101 is a wasteful number, since it uses less digits than its factorization.

212101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33113 (or 33110 counting only the distinct ones).

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

The square root of 212101101 is about 14563.6911873330. The cubic root of 212101101 is about 596.3679665856.

Adding to 212101101 its reverse (101101212), we get a palindrome (313202313).

It can be divided in two parts, 212 and 101101, that multiplied together give a palindrome (21433412).

The spelling of 212101101 in words is "two hundred twelve million, one hundred one thousand, one hundred one".