10112202200101 has 16 divisors (see below), whose sum is σ = 10578050155008. Its totient is φ = 9655392153600.

The previous prime is 10112202200069. The next prime is 10112202200119. The reversal of 10112202200101 is 10100220221101.

It is a cyclic number.

It is not a de Polignac number, because 10112202200101 - 2⁵ = 10112202200069 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 (10112202203101) 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, 624156 + ... + 4540261.

It is an arithmetic number, because the mean of its divisors is an integer number (661128134688).

Almost surely, 2^{10112202200101} is an apocalyptic number.

It is an amenable number.

10112202200101 is a deficient number, since it is larger than the sum of its proper divisors (465847954907).

10112202200101 is an equidigital number, since it uses as much as digits as its factorization.

10112202200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165292.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10112202200101 its reverse (10100220221101), we get a palindrome (20212422421202).

The spelling of 10112202200101 in words is "ten trillion, one hundred twelve billion, two hundred two million, two hundred thousand, one hundred one".