1001802811801 has 27 divisors (see below), whose sum is σ = 1162403706303. Its totient is φ = 862616517840.

The previous prime is 1001802811799. The next prime is 1001802811831. The reversal of 1001802811801 is 1081182081001.

The square root of 1001802811801 is 1000901.

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., 69458075401 + 932344736400 = 263549^2 + 965580^2 .

It is not a de Polignac number, because 1001802811801 - 2¹ = 1001802811799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001802811831) 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 26 ways as a sum of consecutive naturals, for example, 209185915 + ... + 209190703.

Almost surely, 2^{1001802811801} is an apocalyptic number.

1001802811801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001802811801 is the 1000901-st square number.

1001802811801 is the 500451-st centered octagonal number.

It is an amenable number.

1001802811801 is a deficient number, since it is larger than the sum of its proper divisors (160600894502).

1001802811801 is an frugal number, since it uses more digits than its factorization.

1001802811801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9638 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 31.

Adding to 1001802811801 its reverse (1081182081001), we get a palindrome (2082984892802).

The spelling of 1001802811801 in words is "one trillion, one billion, eight hundred two million, eight hundred eleven thousand, eight hundred one".