12122101101 has 16 divisors (see below), whose sum is σ = 17675277120. Its totient is φ = 7328757120.

The previous prime is 12122101063. The next prime is 12122101139. The reversal of 12122101101 is 10110122121.

It is an interprime number because it is at equal distance from previous prime (12122101063) and next prime (12122101139).

It is not a de Polignac number, because 12122101101 - 2⁶ = 12122101037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122101601) 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, 435570 + ... + 462563.

It is an arithmetic number, because the mean of its divisors is an integer number (1104704820).

Almost surely, 2^12122101101 is an apocalyptic number.

12122101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122101101 is a deficient number, since it is larger than the sum of its proper divisors (5553176019).

12122101101 is a wasteful number, since it uses less digits than its factorization.

12122101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898556.

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

Adding to 12122101101 its reverse (10110122121), we get a palindrome (22232223222).

The spelling of 12122101101 in words is "twelve billion, one hundred twenty-two million, one hundred one thousand, one hundred one".