20121112112101 has 16 divisors (see below), whose sum is σ = 27015758921088. Its totient is φ = 14472727992000.

The previous prime is 20121112112093. The next prime is 20121112112173. The reversal of 20121112112101 is 10121121112102.

It is a cyclic number.

It is not a de Polignac number, because 20121112112101 - 2³ = 20121112112093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121112112191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10050504550 + ... + 10050506551.

It is an arithmetic number, because the mean of its divisors is an integer number (1688484932568).

Almost surely, 2^{20121112112101} is an apocalyptic number.

It is an amenable number.

20121112112101 is a deficient number, since it is larger than the sum of its proper divisors (6894646808987).

20121112112101 is a wasteful number, since it uses less digits than its factorization.

20121112112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20101011132.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 20121112112101 its reverse (10121121112102), we get a palindrome (30242233224203).

Subtracting from 20121112112101 its reverse (10121121112102), we obtain a palindrome (9999990999999).

The spelling of 20121112112101 in words is "twenty trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twelve thousand, one hundred one".