213110110100 has 72 divisors (see below), whose sum is σ = 464314370520. Its totient is φ = 84900856320.

The previous prime is 213110110099. The next prime is 213110110117. The reversal of 213110110100 is 1011011312.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 54847766416 + 158262343684 = 234196^2 + 397822^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29443682 + ... + 29450918.

Almost surely, 2^213110110100 is an apocalyptic number.

213110110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213110110100 is an abundant number, since it is smaller than the sum of its proper divisors (251204260420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213110110100 is a wasteful number, since it uses less digits than its factorization.

213110110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397 (or 8390 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 213110110100 its reverse (1011011312), we get a palindrome (214121121412).

The spelling of 213110110100 in words is "two hundred thirteen billion, one hundred ten million, one hundred ten thousand, one hundred".