12101000000101 has 8 divisors (see below), whose sum is σ = 12627168160320. Its totient is φ = 11574834983712.

The previous prime is 12100999999981. The next prime is 12101000000149. The reversal of 12101000000101 is 10100000010121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12101000000101 - 2³¹ = 12098852516453 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 (12101000000171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10572145 + ... + 11660713.

It is an arithmetic number, because the mean of its divisors is an integer number (1578396020040).

Almost surely, 2^{12101000000101} is an apocalyptic number.

It is an amenable number.

12101000000101 is a deficient number, since it is larger than the sum of its proper divisors (526168160219).

12101000000101 is a wasteful number, since it uses less digits than its factorization.

12101000000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571915.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 12101000000101 its reverse (10100000010121), we get a palindrome (22201000010222).

The spelling of 12101000000101 in words is "twelve trillion, one hundred one billion, one hundred one", and thus it is an aban number.