12101000012101 has 64 divisors (see below), whose sum is σ = 17104366540800. Its totient is φ = 8245071648000.

The previous prime is 12101000012089. The next prime is 12101000012141. The reversal of 12101000012101 is 10121000010121.

It is not a de Polignac number, because 12101000012101 - 2¹⁷ = 12100999881029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101000012141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230122630 + ... + 230175208.

It is an arithmetic number, because the mean of its divisors is an integer number (267255727200).

Almost surely, 2^{12101000012101} is an apocalyptic number.

12101000012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101000012101 is a deficient number, since it is larger than the sum of its proper divisors (5003366528699).

12101000012101 is a wasteful number, since it uses less digits than its factorization.

12101000012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64730.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12101000012101 its reverse (10121000010121), we get a palindrome (22222000022222).

It can be divided in two parts, 121010000 and 12101, that multiplied together give a square (1464342010000 = 1210100²).

The spelling of 12101000012101 in words is "twelve trillion, one hundred one billion, twelve thousand, one hundred one".