12001012112101 has 32 divisors (see below), whose sum is σ = 12634751467520. Its totient is φ = 11385682963200.

The previous prime is 12001012111919. The next prime is 12001012112123. The reversal of 12001012112101 is 10121121010021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12001012112101 - 2¹³ = 12001012103909 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 (12001012112191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111824095 + ... + 111931363.

It is an arithmetic number, because the mean of its divisors is an integer number (394835983360).

Almost surely, 2^{12001012112101} is an apocalyptic number.

It is an amenable number.

12001012112101 is a deficient number, since it is larger than the sum of its proper divisors (633739355419).

12001012112101 is a wasteful number, since it uses less digits than its factorization.

12001012112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107765.

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

Adding to 12001012112101 its reverse (10121121010021), we get a palindrome (22122133122122).

The spelling of 12001012112101 in words is "twelve trillion, one billion, twelve million, one hundred twelve thousand, one hundred one".