212100211101 has 16 divisors (see below), whose sum is σ = 287461849280. Its totient is φ = 139069768320.

The previous prime is 212100211093. The next prime is 212100211109. The reversal of 212100211101 is 101112001212.

It is an interprime number because it is at equal distance from previous prime (212100211093) and next prime (212100211109).

It is not a de Polignac number, because 212100211101 - 2³ = 212100211093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100211109) 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, 2313726 + ... + 2403648.

It is an arithmetic number, because the mean of its divisors is an integer number (17966365580).

Almost surely, 2^212100211101 is an apocalyptic number.

It is an amenable number.

212100211101 is a deficient number, since it is larger than the sum of its proper divisors (75361638179).

212100211101 is a wasteful number, since it uses less digits than its factorization.

212100211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102876.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212100211101 its reverse (101112001212), we get a palindrome (313212212313).

The spelling of 212100211101 in words is "two hundred twelve billion, one hundred million, two hundred eleven thousand, one hundred one".