2110100213 has 8 divisors (see below), whose sum is σ = 2278858008. Its totient is φ = 1942262784.

The previous prime is 2110100177. The next prime is 2110100243. The reversal of 2110100213 is 3120010112.

It can be written as a sum of positive squares in 4 ways, for example, as 1270129 + 2108830084 = 1127^2 + 45922^2 .

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 2110100213 - 2¹⁶ = 2110034677 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2110100194 and 2110100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110100243) 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 7 ways as a sum of consecutive naturals, for example, 225320 + ... + 234497.

It is an arithmetic number, because the mean of its divisors is an integer number (284857251).

Almost surely, 2^2110100213 is an apocalyptic number.

It is an amenable number.

2110100213 is a deficient number, since it is larger than the sum of its proper divisors (168757795).

2110100213 is a wasteful number, since it uses less digits than its factorization.

2110100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460183.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2110100213 is about 45935.8271178391. The cubic root of 2110100213 is about 1282.6289176012.

Adding to 2110100213 its reverse (3120010112), we get a palindrome (5230110325).

The spelling of 2110100213 in words is "two billion, one hundred ten million, one hundred thousand, two hundred thirteen".