1101131221201 has 32 divisors (see below), whose sum is σ = 1258854524928. Its totient is φ = 953389578240.

The previous prime is 1101131221189. The next prime is 1101131221207. The reversal of 1101131221201 is 1021221311011.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-1101131221201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101131221207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230022930 + ... + 230027716.

It is an arithmetic number, because the mean of its divisors is an integer number (39339203904).

Almost surely, 2^{1101131221201} is an apocalyptic number.

1101131221201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101131221201 is a deficient number, since it is larger than the sum of its proper divisors (157723303727).

1101131221201 is a wasteful number, since it uses less digits than its factorization.

1101131221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8541.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1101131221201 its reverse (1021221311011), we get a palindrome (2122352532212).

It can be divided in two parts, 110 and 1131221201, that added together give a palindrome (1131221311).

The spelling of 1101131221201 in words is "one trillion, one hundred one billion, one hundred thirty-one million, two hundred twenty-one thousand, two hundred one".