12111121022101 has 16 divisors (see below), whose sum is σ = 13185143238960. Its totient is φ = 11079344005120.

The previous prime is 12111121022087. The next prime is 12111121022179. The reversal of 12111121022101 is 10122012111121.

12111121022101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 940492644100 + 11170628378001 = 969790^2 + 3342249^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111121022101 - 2⁹ = 12111121021589 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 (12111121022191) 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, 32110036 + ... + 32485021.

It is an arithmetic number, because the mean of its divisors is an integer number (824071452435).

Almost surely, 2^{12111121022101} is an apocalyptic number.

It is an amenable number.

12111121022101 is a deficient number, since it is larger than the sum of its proper divisors (1074022216859).

12111121022101 is a wasteful number, since it uses less digits than its factorization.

12111121022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64595384.

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

Adding to 12111121022101 its reverse (10122012111121), we get a palindrome (22233133133222).

The spelling of 12111121022101 in words is "twelve trillion, one hundred eleven billion, one hundred twenty-one million, twenty-two thousand, one hundred one".