12000100202101 has 16 divisors (see below), whose sum is σ = 13186834027200. Its totient is φ = 10829424055680.

The previous prime is 12000100202099. The next prime is 12000100202137. The reversal of 12000100202101 is 10120200100021.

It is a cyclic number.

It is not a de Polignac number, because 12000100202101 - 2¹ = 12000100202099 is a prime.

It is a super-2 number, since 2×12000100202101² (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 (12000100202201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506530 + ... + 4925116.

It is an arithmetic number, because the mean of its divisors is an integer number (824177126700).

Almost surely, 2^{12000100202101} is an apocalyptic number.

12000100202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12000100202101 is a deficient number, since it is larger than the sum of its proper divisors (1186733825099).

12000100202101 is a wasteful number, since it uses less digits than its factorization.

12000100202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420404.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12000100202101 its reverse (10120200100021), we get a palindrome (22120300302122).

The spelling of 12000100202101 in words is "twelve trillion, one hundred million, two hundred two thousand, one hundred one".