2112010100213 has 16 divisors (see below), whose sum is σ = 2394505673280. Its totient is φ = 1846689922944.

The previous prime is 2112010100059. The next prime is 2112010100273. The reversal of 2112010100213 is 3120010102112.

It is a cyclic number.

It is not a de Polignac number, because 2112010100213 - 2¹⁰ = 2112010099189 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 (2112010100273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1260770 + ... + 2411132.

It is an arithmetic number, because the mean of its divisors is an integer number (149656604580).

Almost surely, 2^{2112010100213} is an apocalyptic number.

It is an amenable number.

2112010100213 is a deficient number, since it is larger than the sum of its proper divisors (282495573067).

2112010100213 is a wasteful number, since it uses less digits than its factorization.

2112010100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157828.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2112010100213 its reverse (3120010102112), we get a palindrome (5232020202325).

The spelling of 2112010100213 in words is "two trillion, one hundred twelve billion, ten million, one hundred thousand, two hundred thirteen".