12121102100101 has 16 divisors (see below), whose sum is σ = 12216580282368. Its totient is φ = 12026057472000.

The previous prime is 12121102100099. The next prime is 12121102100123. The reversal of 12121102100101 is 10100120112121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12121102100101 - 2¹ = 12121102100099 is a prime.

It is a super-2 number, since 2×12121102100101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121102100131) 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, 97857130 + ... + 97980916.

It is an arithmetic number, because the mean of its divisors is an integer number (763536267648).

Almost surely, 2^{12121102100101} is an apocalyptic number.

It is an amenable number.

12121102100101 is a deficient number, since it is larger than the sum of its proper divisors (95478182267).

12121102100101 is a wasteful number, since it uses less digits than its factorization.

12121102100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125532.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12121102100101 its reverse (10100120112121), we get a palindrome (22221222212222).

The spelling of 12121102100101 in words is "twelve trillion, one hundred twenty-one billion, one hundred two million, one hundred thousand, one hundred one".