1221100000213 has 8 divisors (see below), whose sum is σ = 1222480827288. Its totient is φ = 1219719442944.

The previous prime is 1221100000193. The next prime is 1221100000217. The reversal of 1221100000213 is 3120000011221.

It can be written as a sum of positive squares in 4 ways, for example, as 326974681489 + 894125318724 = 571817^2 + 945582^2 .

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 1221100000213 - 2³³ = 1212510065621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1221100000193 and 1221100000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221100000217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9798945 + ... + 9922777.

It is an arithmetic number, because the mean of its divisors is an integer number (152810103411).

Almost surely, 2^{1221100000213} is an apocalyptic number.

It is an amenable number.

1221100000213 is a deficient number, since it is larger than the sum of its proper divisors (1380827075).

1221100000213 is a wasteful number, since it uses less digits than its factorization.

1221100000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134903.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1221100000213 its reverse (3120000011221), we get a palindrome (4341100011434).

The spelling of 1221100000213 in words is "one trillion, two hundred twenty-one billion, one hundred million, two hundred thirteen", and thus it is an aban number.