1101111111201 has 32 divisors (see below), whose sum is σ = 1578758952960. Its totient is φ = 680444266176.

The previous prime is 1101111111193. The next prime is 1101111111209. The reversal of 1101111111201 is 1021111111011.

It is an interprime number because it is at equal distance from previous prime (1101111111193) and next prime (1101111111209).

It is not a de Polignac number, because 1101111111201 - 2³ = 1101111111193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101111111209) 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 31 ways as a sum of consecutive naturals, for example, 9444475 + ... + 9560351.

It is an arithmetic number, because the mean of its divisors is an integer number (49336217280).

Almost surely, 2^{1101111111201} is an apocalyptic number.

It is an amenable number.

1101111111201 is a deficient number, since it is larger than the sum of its proper divisors (477647841759).

1101111111201 is a wasteful number, since it uses less digits than its factorization.

1101111111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119493.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 1101111111201 its reverse (1021111111011), we get a palindrome (2122222222212).

The spelling of 1101111111201 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, two hundred one".