10112201100011 has 8 divisors (see below), whose sum is σ = 10125499731600. Its totient is φ = 10098907660800.

The previous prime is 10112201100007. The next prime is 10112201100041. The reversal of 10112201100011 is 11000110221101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10112201100011 - 2² = 10112201100007 is a prime.

It is a super-2 number, since 2×10112201100011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112201099965 and 10112201100001.

It is not an unprimeable number, because it can be changed into a prime (10112201100041) 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 7 ways as a sum of consecutive naturals, for example, 2607200 + ... + 5198258.

It is an arithmetic number, because the mean of its divisors is an integer number (1265687466450).

Almost surely, 2^{10112201100011} is an apocalyptic number.

10112201100011 is a deficient number, since it is larger than the sum of its proper divisors (13298631589).

10112201100011 is an equidigital number, since it uses as much as digits as its factorization.

10112201100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596189.

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

Adding to 10112201100011 its reverse (11000110221101), we get a palindrome (21112311321112).

The spelling of 10112201100011 in words is "ten trillion, one hundred twelve billion, two hundred one million, one hundred thousand, eleven".