10112200101011 has 16 divisors (see below), whose sum is σ = 10578815267328. Its totient is φ = 9647834064000.

The previous prime is 10112200101007. The next prime is 10112200101049. The reversal of 10112200101011 is 11010100221101.

It is a cyclic number.

It is not a de Polignac number, because 10112200101011 - 2² = 10112200101007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112200100983 and 10112200101001.

It is not an unprimeable number, because it can be changed into a prime (10112200101511) 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 15 ways as a sum of consecutive naturals, for example, 285258890 + ... + 285294336.

It is an arithmetic number, because the mean of its divisors is an integer number (661175954208).

Almost surely, 2^{10112200101011} is an apocalyptic number.

10112200101011 is a deficient number, since it is larger than the sum of its proper divisors (466615166317).

10112200101011 is a wasteful number, since it uses less digits than its factorization.

10112200101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66802.

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

Adding to 10112200101011 its reverse (11010100221101), we get a palindrome (21122300322112).

The spelling of 10112200101011 in words is "ten trillion, one hundred twelve billion, two hundred million, one hundred one thousand, eleven".