12100101122101 has 8 divisors (see below), whose sum is σ = 12739176571680. Its totient is φ = 11461248474768.

The previous prime is 12100101122099. The next prime is 12100101122117. The reversal of 12100101122101 is 10122110100121.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 12100101122101 - 2¹ = 12100101122099 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 (12100101122191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55589071 + ... + 55806316.

It is an arithmetic number, because the mean of its divisors is an integer number (1592397071460).

Almost surely, 2^{12100101122101} is an apocalyptic number.

It is an amenable number.

12100101122101 is a deficient number, since it is larger than the sum of its proper divisors (639075449579).

12100101122101 is a wasteful number, since it uses less digits than its factorization.

12100101122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111401123.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12100101122101 its reverse (10122110100121), we get a palindrome (22222211222222).

The spelling of 12100101122101 in words is "twelve trillion, one hundred billion, one hundred one million, one hundred twenty-two thousand, one hundred one".