1101100001201 has 8 divisors (see below), whose sum is σ = 1109606230824. Its totient is φ = 1092620396160.

The previous prime is 1101100001161. The next prime is 1101100001237. The reversal of 1101100001201 is 1021000011011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 121298958400 + 979801042801 = 348280^2 + 989849^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1101100001201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101100001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6573110 + ... + 6738543.

It is an arithmetic number, because the mean of its divisors is an integer number (138700778853).

Almost surely, 2^{1101100001201} is an apocalyptic number.

It is an amenable number.

1101100001201 is a deficient number, since it is larger than the sum of its proper divisors (8506229623).

1101100001201 is a wasteful number, since it uses less digits than its factorization.

1101100001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13312291.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1101100001201 its reverse (1021000011011), we get a palindrome (2122100012212).

The spelling of 1101100001201 in words is "one trillion, one hundred one billion, one hundred million, one thousand, two hundred one".