12100101101 has 32 divisors (see below), whose sum is σ = 14097017088. Its totient is φ = 10264253440.

The previous prime is 12100101077. The next prime is 12100101127. The reversal of 12100101101 is 10110100121.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12100101101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100101131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18529691 + ... + 18530343.

It is an arithmetic number, because the mean of its divisors is an integer number (440531784).

Almost surely, 2^12100101101 is an apocalyptic number.

12100101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100101101 is a deficient number, since it is larger than the sum of its proper divisors (1996915987).

12100101101 is a wasteful number, since it uses less digits than its factorization.

12100101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12100101101 its reverse (10110100121), we get a palindrome (22210201222).

The spelling of 12100101101 in words is "twelve billion, one hundred million, one hundred one thousand, one hundred one".