12001010122101 has 128 divisors (see below), whose sum is σ = 22438534938624. Its totient is φ = 5499587301120.

The previous prime is 12001010122099. The next prime is 12001010122141. The reversal of 12001010122101 is 10122101010021.

It is not a de Polignac number, because 12001010122101 - 2¹ = 12001010122099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001010122141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77487126 + ... + 77641848.

It is an arithmetic number, because the mean of its divisors is an integer number (175301054208).

Almost surely, 2^{12001010122101} is an apocalyptic number.

12001010122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001010122101 is a deficient number, since it is larger than the sum of its proper divisors (10437524816523).

12001010122101 is a wasteful number, since it uses less digits than its factorization.

12001010122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155903.

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

Adding to 12001010122101 its reverse (10122101010021), we get a palindrome (22123111132122).

The spelling of 12001010122101 in words is "twelve trillion, one billion, ten million, one hundred twenty-two thousand, one hundred one".