2102123013201 has 6 divisors (see below), whose sum is σ = 3036399907970. Its totient is φ = 1401415342128.

The previous prime is 2102123013169. The next prime is 2102123013203. The reversal of 2102123013201 is 1023103212012.

2102123013201 is a `hidden beast` number, since 21 + 0 + 21 + 2 + 301 + 320 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1950069809601 + 152053203600 = 1396449^2 + 389940^2 .

It is not a de Polignac number, because 2102123013201 - 2⁵ = 2102123013169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102123013203) 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 5 ways as a sum of consecutive naturals, for example, 116784611836 + ... + 116784611853.

Almost surely, 2^{2102123013201} is an apocalyptic number.

It is an amenable number.

2102123013201 is a deficient number, since it is larger than the sum of its proper divisors (934276894769).

2102123013201 is a wasteful number, since it uses less digits than its factorization.

2102123013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233569223695 (or 233569223692 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2102123013201 its reverse (1023103212012), we get a palindrome (3125226225213).

The spelling of 2102123013201 in words is "two trillion, one hundred two billion, one hundred twenty-three million, thirteen thousand, two hundred one".