12200101101011 has 16 divisors (see below), whose sum is σ = 12269172994848. Its totient is φ = 12131287660800.

The previous prime is 12200101101007. The next prime is 12200101101029. The reversal of 12200101101011 is 11010110100221.

It is a cyclic number.

It is not a de Polignac number, because 12200101101011 - 2² = 12200101101007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12200101100983 and 12200101101001.

It is not an unprimeable number, because it can be changed into a prime (12200101181011) 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, 153840776 + ... + 153920058.

It is an arithmetic number, because the mean of its divisors is an integer number (766823312178).

Almost surely, 2^{12200101101011} is an apocalyptic number.

12200101101011 is a deficient number, since it is larger than the sum of its proper divisors (69071893837).

12200101101011 is an equidigital number, since it uses as much as digits as its factorization.

12200101101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80902.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12200101101011 its reverse (11010110100221), we get a palindrome (23210211201232).

The spelling of 12200101101011 in words is "twelve trillion, two hundred billion, one hundred one million, one hundred one thousand, eleven".