2101220121213 has 6 divisors (see below), whose sum is σ = 3035095730654. Its totient is φ = 1400813414136.

The previous prime is 2101220121173. The next prime is 2101220121239. The reversal of 2101220121213 is 3121210221012.

2101220121213 is a `hidden beast` number, since 210 + 1 + 220 + 1 + 21 + 213 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1301522750649 + 799697370564 = 1140843^2 + 894258^2 .

It is not a de Polignac number, because 2101220121213 - 2¹⁰ = 2101220120189 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 (2101220121713) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116734451170 + ... + 116734451187.

Almost surely, 2^{2101220121213} is an apocalyptic number.

It is an amenable number.

2101220121213 is a deficient number, since it is larger than the sum of its proper divisors (933875609441).

2101220121213 is a wasteful number, since it uses less digits than its factorization.

2101220121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233468902363 (or 233468902360 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2101220121213 its reverse (3121210221012), we get a palindrome (5222430342225).

The spelling of 2101220121213 in words is "two trillion, one hundred one billion, two hundred twenty million, one hundred twenty-one thousand, two hundred thirteen".