2102120213 has 8 divisors (see below), whose sum is σ = 2209300800. Its totient is φ = 1996255008.

The previous prime is 2102120201. The next prime is 2102120221. The reversal of 2102120213 is 3120212012.

It is a happy number.

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

It is not a de Polignac number, because 2102120213 - 2¹⁸ = 2101858069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102120413) 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, 325568 + ... + 331961.

It is an arithmetic number, because the mean of its divisors is an integer number (276162600).

Almost surely, 2^2102120213 is an apocalyptic number.

2102120213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2102120213 is a deficient number, since it is larger than the sum of its proper divisors (107180587).

2102120213 is a wasteful number, since it uses less digits than its factorization.

2102120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657691.

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

The square root of 2102120213 is about 45848.8845338684. The cubic root of 2102120213 is about 1281.0099883781.

Adding to 2102120213 its reverse (3120212012), we get a palindrome (5222332225).

The spelling of 2102120213 in words is "two billion, one hundred two million, one hundred twenty thousand, two hundred thirteen".