2100120111213 has 16 divisors (see below), whose sum is σ = 2827052015616. Its totient is φ = 1386640827440.

The previous prime is 2100120111191. The next prime is 2100120111223. The reversal of 2100120111213 is 3121110210012.

It is a cyclic number.

It is not a de Polignac number, because 2100120111213 - 2¹³ = 2100120103021 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2100120111192 and 2100120111201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100120111223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425428 + ... + 2093138.

It is an arithmetic number, because the mean of its divisors is an integer number (176690750976).

Almost surely, 2^{2100120111213} is an apocalyptic number.

It is an amenable number.

2100120111213 is a deficient number, since it is larger than the sum of its proper divisors (726931904403).

2100120111213 is a wasteful number, since it uses less digits than its factorization.

2100120111213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671744.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2100120111213 its reverse (3121110210012), we get a palindrome (5221230321225).

The spelling of 2100120111213 in words is "two trillion, one hundred billion, one hundred twenty million, one hundred eleven thousand, two hundred thirteen".