2120020100213 has 8 divisors (see below), whose sum is σ = 2148058127040. Its totient is φ = 2092164732000.

The previous prime is 2120020100207. The next prime is 2120020100251. The reversal of 2120020100213 is 3120010200212.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2120020100213 - 2²⁶ = 2119952991349 is a prime.

It is a super-3 number, since 3×2120020100213³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120020100203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45641288 + ... + 45687713.

It is an arithmetic number, because the mean of its divisors is an integer number (268507265880).

Almost surely, 2^{2120020100213} is an apocalyptic number.

It is an amenable number.

2120020100213 is a deficient number, since it is larger than the sum of its proper divisors (28038026827).

2120020100213 is a wasteful number, since it uses less digits than its factorization.

2120020100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91329307.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2120020100213 its reverse (3120010200212), we get a palindrome (5240030300425).

Subtracting 2120020100213 from its reverse (3120010200212), we obtain a palindrome (999990099999).

The spelling of 2120020100213 in words is "two trillion, one hundred twenty billion, twenty million, one hundred thousand, two hundred thirteen".