12121102101101 has 16 divisors (see below), whose sum is σ = 14333055408000. Its totient is φ = 10029375037248.

The previous prime is 12121102101047. The next prime is 12121102101107. The reversal of 12121102101101 is 10110120112121.

12121102101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12121102101101 - 2¹⁸ = 12121101838957 is a prime.

It is a super-2 number, since 2×12121102101101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121102101107) 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, 4515551 + ... + 6680748.

It is an arithmetic number, because the mean of its divisors is an integer number (895815963000).

Almost surely, 2^{12121102101101} is an apocalyptic number.

It is an amenable number.

12121102101101 is a deficient number, since it is larger than the sum of its proper divisors (2211953306899).

12121102101101 is a wasteful number, since it uses less digits than its factorization.

12121102101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11201668.

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

Adding to 12121102101101 its reverse (10110120112121), we get a palindrome (22231222213222).

The spelling of 12121102101101 in words is "twelve trillion, one hundred twenty-one billion, one hundred two million, one hundred one thousand, one hundred one".