1200100101101 has 16 divisors (see below), whose sum is σ = 1320960225600. Its totient is φ = 1081202545920.

The previous prime is 1200100101091. The next prime is 1200100101133. The reversal of 1200100101101 is 1011010010021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1200100101101 - 2⁶ = 1200100101037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200100101191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9999950 + ... + 10119248.

It is an arithmetic number, because the mean of its divisors is an integer number (82560014100).

Almost surely, 2^{1200100101101} is an apocalyptic number.

1200100101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1200100101101 is a deficient number, since it is larger than the sum of its proper divisors (120860124499).

1200100101101 is a wasteful number, since it uses less digits than its factorization.

1200100101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127516.

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

Adding to 1200100101101 its reverse (1011010010021), we get a palindrome (2211110111122).

The spelling of 1200100101101 in words is "one trillion, two hundred billion, one hundred million, one hundred one thousand, one hundred one".