12121110011101 has 64 divisors (see below), whose sum is σ = 16043744747520. Its totient is φ = 8888845754880.

The previous prime is 12121110011089. The next prime is 12121110011119. The reversal of 12121110011101 is 10111001112121.

It is not a de Polignac number, because 12121110011101 - 2¹³ = 12121110002909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121110011401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221901945 + ... + 221956561.

It is an arithmetic number, because the mean of its divisors is an integer number (250683511680).

Almost surely, 2^{12121110011101} is an apocalyptic number.

It is an amenable number.

12121110011101 is a deficient number, since it is larger than the sum of its proper divisors (3922634736419).

12121110011101 is a wasteful number, since it uses less digits than its factorization.

12121110011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57434.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 12121110011101 its reverse (10111001112121), we get a palindrome (22232111123222).

The spelling of 12121110011101 in words is "twelve trillion, one hundred twenty-one billion, one hundred ten million, eleven thousand, one hundred one".