199297058142121 has 9 divisors (see below), whose sum is σ = 199558697164581. Its totient is φ = 199035761758272.

The previous prime is 199297058142053. The next prime is 199297058142139. The reversal of 199297058142121 is 121241850792991.

The square root of 199297058142121 is 14117261.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 48202319098521 + 151094739043600 = 6942789^2 + 12292060^2 .

It is not a de Polignac number, because 199297058142121 - 2⁴⁵ = 164112686053289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 199297058142121.

It is not an unprimeable number, because it can be changed into a prime (199297058142521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11251448161 + ... + 11251465873.

Almost surely, 2^{199297058142121} is an apocalyptic number.

199297058142121 is the 14117261-st square number.

199297058142121 is the 7058631-st centered octagonal number.

It is an amenable number.

199297058142121 is a deficient number, since it is larger than the sum of its proper divisors (261639022460).

199297058142121 is an frugal number, since it uses more digits than its factorization.

199297058142121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37020 (or 18510 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 61.

The spelling of 199297058142121 in words is "one hundred ninety-nine trillion, two hundred ninety-seven billion, fifty-eight million, one hundred forty-two thousand, one hundred twenty-one".