12102111002101 has 2 divisors, whose sum is σ = 12102111002102. Its totient is φ = 12102111002100.

The previous prime is 12102111001997. The next prime is 12102111002119. The reversal of 12102111002101 is 10120011120121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11649183348100 + 452927654001 = 3413090^2 + 672999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12102111002101 is a prime.

It is a super-3 number, since 3×12102111002101³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12102111002171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051055501050 + 6051055501051.

It is an arithmetic number, because the mean of its divisors is an integer number (6051055501051).

Almost surely, 2^{12102111002101} is an apocalyptic number.

It is an amenable number.

12102111002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102111002101 is an equidigital number, since it uses as much as digits as its factorization.

12102111002101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12102111002101 its reverse (10120011120121), we get a palindrome (22222122122222).

The spelling of 12102111002101 in words is "twelve trillion, one hundred two billion, one hundred eleven million, two thousand, one hundred one".