200371413978121 has 9 divisors (see below), whose sum is σ = 200584492794261. Its totient is φ = 200158561318464.

The previous prime is 200371413978119. The next prime is 200371413978133. The reversal of 200371413978121 is 121879314173002.

The square root of 200371413978121 is 14155261.

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 108760098873721 + 91611315104400 = 10428811^2 + 9571380^2 .

It is not a de Polignac number, because 200371413978121 - 2¹ = 200371413978119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200371413978101) 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, 14282651335 + ... + 14282665363.

It is an arithmetic number, because the mean of its divisors is an integer number (22287165866029).

Almost surely, 2^{200371413978121} is an apocalyptic number.

200371413978121 is the 14155261-st square number.

200371413978121 is the 7077631-st centered octagonal number.

It is an amenable number.

200371413978121 is a deficient number, since it is larger than the sum of its proper divisors (213078816140).

200371413978121 is an frugal number, since it uses more digits than its factorization.

200371413978121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30076 (or 15038 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

The spelling of 200371413978121 in words is "two hundred trillion, three hundred seventy-one billion, four hundred thirteen million, nine hundred seventy-eight thousand, one hundred twenty-one".