1001202361201 has 27 divisors (see below), whose sum is σ = 1171738079883. Its totient is φ = 852992340480.

The previous prime is 1001202361153. The next prime is 1001202361207. The reversal of 1001202361201 is 1021632021001.

The square root of 1001202361201 is 1000601.

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

It can be written as a sum of positive squares in only one way, i.e., 903733521201 + 97468840000 = 950649^2 + 312200^2 .

It is not a de Polignac number, because 1001202361201 - 2¹¹ = 1001202359153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001202361207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1561937841 + ... + 1561938481.

Almost surely, 2^{1001202361201} is an apocalyptic number.

1001202361201 is the 1000601-st square number.

1001202361201 is the 500301-st centered octagonal number.

It is an amenable number.

1001202361201 is a deficient number, since it is larger than the sum of its proper divisors (170535718682).

1001202361201 is an frugal number, since it uses more digits than its factorization.

1001202361201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Multiplying 1001202361201 by its product of nonzero digits (144), we get a square (144173140012944 = 12007212²).

Adding to 1001202361201 its reverse (1021632021001), we get a palindrome (2022834382202).

The spelling of 1001202361201 in words is "one trillion, one billion, two hundred two million, three hundred sixty-one thousand, two hundred one".