2120110002213 has 32 divisors (see below), whose sum is σ = 3235124911104. Its totient is φ = 1209812201472.

The previous prime is 2120110002167. The next prime is 2120110002217. The reversal of 2120110002213 is 3122000110212.

It is not a de Polignac number, because 2120110002213 - 2⁹ = 2120110001701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120110002192 and 2120110002201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120110002217) 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 31 ways as a sum of consecutive naturals, for example, 45730981 + ... + 45777317.

It is an arithmetic number, because the mean of its divisors is an integer number (101097653472).

Almost surely, 2^{2120110002213} is an apocalyptic number.

It is an amenable number.

2120110002213 is a deficient number, since it is larger than the sum of its proper divisors (1115014908891).

2120110002213 is a wasteful number, since it uses less digits than its factorization.

2120110002213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49321.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2120110002213 its reverse (3122000110212), we get a palindrome (5242110112425).

The spelling of 2120110002213 in words is "two trillion, one hundred twenty billion, one hundred ten million, two thousand, two hundred thirteen".