1101101111201 has 12 divisors (see below), whose sum is σ = 1379401392852. Its totient is φ = 871200878688.

The previous prime is 1101101111179. The next prime is 1101101111203. The reversal of 1101101111201 is 1021111011011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 279904483600 + 821196627601 = 529060^2 + 906199^2 .

It is not a de Polignac number, because 1101101111201 - 2¹⁰ = 1101101110177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101101111203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864285950 + ... + 864287223.

It is an arithmetic number, because the mean of its divisors is an integer number (114950116071).

Almost surely, 2^{1101101111201} is an apocalyptic number.

It is an amenable number.

1101101111201 is a deficient number, since it is larger than the sum of its proper divisors (278300281651).

1101101111201 is a wasteful number, since it uses less digits than its factorization.

1101101111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728573200 (or 1728573193 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1101101111201 its reverse (1021111011011), we get a palindrome (2122212122212).

The spelling of 1101101111201 in words is "one trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, two hundred one".