2120100001213 has 8 divisors (see below), whose sum is σ = 2169436487328. Its totient is φ = 2070764962224.

The previous prime is 2120100001199. The next prime is 2120100001223. The reversal of 2120100001213 is 3121000010212.

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 2120100001213 - 2³³ = 2111510066621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2120100001193 and 2120100001202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120100001223) 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 7 ways as a sum of consecutive naturals, for example, 2951331 + ... + 3598687.

It is an arithmetic number, because the mean of its divisors is an integer number (271179560916).

Almost surely, 2^{2120100001213} is an apocalyptic number.

It is an amenable number.

2120100001213 is a deficient number, since it is larger than the sum of its proper divisors (49336486115).

2120100001213 is an equidigital number, since it uses as much as digits as its factorization.

2120100001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723563.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2120100001213 its reverse (3121000010212), we get a palindrome (5241100011425).

The spelling of 2120100001213 in words is "two trillion, one hundred twenty billion, one hundred million, one thousand, two hundred thirteen".