12102101112101 has 96 divisors (see below), whose sum is σ = 16863046881408. Its totient is φ = 8534559720960.

The previous prime is 12102101112091. The next prime is 12102101112119. The reversal of 12102101112101 is 10121110120121.

It is not a de Polignac number, because 12102101112101 - 2¹⁰ = 12102101111077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102101112151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 565587335 + ... + 565608731.

It is an arithmetic number, because the mean of its divisors is an integer number (175656738348).

Almost surely, 2^{12102101112101} is an apocalyptic number.

12102101112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102101112101 is a deficient number, since it is larger than the sum of its proper divisors (4760945769307).

12102101112101 is a wasteful number, since it uses less digits than its factorization.

12102101112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23011 (or 23004 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12102101112101 its reverse (10121110120121), we get a palindrome (22223211232222).

The spelling of 12102101112101 in words is "twelve trillion, one hundred two billion, one hundred one million, one hundred twelve thousand, one hundred one".