2210120222193 has 36 divisors (see below), whose sum is σ = 3523863093660. Its totient is φ = 1326901328640.

The previous prime is 2210120222171. The next prime is 2210120222201. The reversal of 2210120222193 is 3912220210122.

It can be written as a sum of positive squares in 6 ways, for example, as 1616183349264 + 593936872929 = 1271292^2 + 770673^2 .

It is not a de Polignac number, because 2210120222193 - 2¹⁴ = 2210120205809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2210120232193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5421978 + ... + 5815331.

It is an arithmetic number, because the mean of its divisors is an integer number (97885085935).

Almost surely, 2^{2210120222193} is an apocalyptic number.

It is an amenable number.

2210120222193 is a deficient number, since it is larger than the sum of its proper divisors (1313742871467).

2210120222193 is a wasteful number, since it uses less digits than its factorization.

2210120222193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11237410 (or 11237366 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 2210120222193 in words is "two trillion, two hundred ten billion, one hundred twenty million, two hundred twenty-two thousand, one hundred ninety-three".