10000111112201 has 12 divisors (see below), whose sum is σ = 11823483667140. Its totient is φ = 8431007024160.

The previous prime is 10000111112183. The next prime is 10000111112213. The reversal of 10000111112201 is 10221111100001.

It can be written as a sum of positive squares in 2 ways, for example, as 3073976732176 + 6926134380025 = 1753276^2 + 2631755^2 .

It is not a de Polignac number, because 10000111112201 - 2¹⁴ = 10000111095817 is a prime.

It is a super-2 number, since 2×10000111112201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000111112221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1672815866 + ... + 1672821843.

It is an arithmetic number, because the mean of its divisors is an integer number (985290305595).

Almost surely, 2^{10000111112201} is an apocalyptic number.

It is an amenable number.

10000111112201 is a deficient number, since it is larger than the sum of its proper divisors (1823372554939).

10000111112201 is an equidigital number, since it uses as much as digits as its factorization.

10000111112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345637784 (or 3345637777 counting only the distinct ones).

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

Adding to 10000111112201 its reverse (10221111100001), we get a palindrome (20221222212202).

The spelling of 10000111112201 in words is "ten trillion, one hundred eleven million, one hundred twelve thousand, two hundred one".