120220221100213 has 8 divisors (see below), whose sum is σ = 129775455196856. Its totient is φ = 110708919115200.

The previous prime is 120220221100171. The next prime is 120220221100241. The reversal of 120220221100213 is 312001122022021.

It can be written as a sum of positive squares in 4 ways, for example, as 20232660713329 + 99987560386884 = 4498073^2 + 9999378^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120220221100213 is a prime.

It is a super-2 number, since 2×120220221100213² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220221170213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10983022218 + ... + 10983033163.

It is an arithmetic number, because the mean of its divisors is an integer number (16221931899607).

Almost surely, 2^{120220221100213} is an apocalyptic number.

120220221100213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120220221100213 is a deficient number, since it is larger than the sum of its proper divisors (9555234096643).

120220221100213 is a wasteful number, since it uses less digits than its factorization.

120220221100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21966055815.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 120220221100213 its reverse (312001122022021), we get a palindrome (432221343122234).

The spelling of 120220221100213 in words is "one hundred twenty trillion, two hundred twenty billion, two hundred twenty-one million, one hundred thousand, two hundred thirteen".