2130575203201 has 9 divisors (see below), whose sum is σ = 2227271555649. Its totient is φ = 2037909386436.

The previous prime is 2130575203199. The next prime is 2130575203277. The reversal of 2130575203201 is 1023025750312.

The square root of 2130575203201 is 1459649.

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

It is not a de Polignac number, because 2130575203201 - 2¹ = 2130575203199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2130575203901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33540196 + ... + 33603658.

Almost surely, 2^{2130575203201} is an apocalyptic number.

2130575203201 is the 1459649-th square number.

2130575203201 is the 729825-th centered octagonal number.

It is an amenable number.

2130575203201 is a deficient number, since it is larger than the sum of its proper divisors (96696352448).

2130575203201 is an frugal number, since it uses more digits than its factorization.

2130575203201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126972 (or 63486 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The spelling of 2130575203201 in words is "two trillion, one hundred thirty billion, five hundred seventy-five million, two hundred three thousand, two hundred one".