12100000201021 has 24 divisors (see below), whose sum is σ = 12258684924120. Its totient is φ = 11943304848000.

The previous prime is 12100000200947. The next prime is 12100000201031. The reversal of 12100000201021 is 12010200000121.

It can be written as a sum of positive squares in 4 ways, for example, as 651589598521 + 11448410602500 = 807211^2 + 3383550^2 .

It is not a de Polignac number, because 12100000201021 - 2¹⁵ = 12100000168253 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12100000200989 and 12100000201007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100000201031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6365070171 + ... + 6365072071.

It is an arithmetic number, because the mean of its divisors is an integer number (510778538505).

Almost surely, 2^{12100000201021} is an apocalyptic number.

It is an amenable number.

12100000201021 is a deficient number, since it is larger than the sum of its proper divisors (158684723099).

12100000201021 is a wasteful number, since it uses less digits than its factorization.

12100000201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3654 counting only the distinct ones).

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

Adding to 12100000201021 its reverse (12010200000121), we get a palindrome (24110200201142).

The spelling of 12100000201021 in words is "twelve trillion, one hundred billion, two hundred one thousand, twenty-one".