12121100101 has 24 divisors (see below), whose sum is σ = 13882327200. Its totient is φ = 10562244000.

The previous prime is 12121100093. The next prime is 12121100111. The reversal of 12121100101 is 10100112121.

It is not a de Polignac number, because 12121100101 - 2³ = 12121100093 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 (12121100111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475326 + ... + 500176.

It is an arithmetic number, because the mean of its divisors is an integer number (578430300).

Almost surely, 2^12121100101 is an apocalyptic number.

12121100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12121100101 is a deficient number, since it is larger than the sum of its proper divisors (1761227099).

12121100101 is a wasteful number, since it uses less digits than its factorization.

12121100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25041 (or 25030 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12121100101 its reverse (10100112121), we get a palindrome (22221212222).

The spelling of 12121100101 in words is "twelve billion, one hundred twenty-one million, one hundred thousand, one hundred one".