10112201102201 has 16 divisors (see below), whose sum is σ = 12188247043968. Its totient is φ = 8275970208000.

The previous prime is 10112201102197. The next prime is 10112201102207. The reversal of 10112201102201 is 10220110221101.

It is not a de Polignac number, because 10112201102201 - 2² = 10112201102197 is a prime.

It is a super-2 number, since 2×10112201102201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10112201102207) 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, 1175559650 + ... + 1175568251.

It is an arithmetic number, because the mean of its divisors is an integer number (761765440248).

Almost surely, 2^{10112201102201} is an apocalyptic number.

10112201102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112201102201 is a deficient number, since it is larger than the sum of its proper divisors (2076045941767).

10112201102201 is a wasteful number, since it uses less digits than its factorization.

10112201102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351127952.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10112201102201 its reverse (10220110221101), we get a palindrome (20332311323302).

It can be divided in two parts, 10 and 112201102201, that added together give a palindrome (112201102211).

The spelling of 10112201102201 in words is "ten trillion, one hundred twelve billion, two hundred one million, one hundred two thousand, two hundred one".