10112111112201 has 16 divisors (see below), whose sum is σ = 15409325568000. Its totient is φ = 5778201325968.

The previous prime is 10112111112197. The next prime is 10112111112281. The reversal of 10112111112201 is 10221111121101.

It is not a de Polignac number, because 10112111112201 - 2² = 10112111112197 is a prime.

It is a super-2 number, since 2×10112111112201² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10112111112281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5318931 + ... + 6965288.

It is an arithmetic number, because the mean of its divisors is an integer number (963082848000).

Almost surely, 2^{10112111112201} is an apocalyptic number.

It is an amenable number.

10112111112201 is a deficient number, since it is larger than the sum of its proper divisors (5297214455799).

10112111112201 is a wasteful number, since it uses less digits than its factorization.

10112111112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12323428.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10112111112201 its reverse (10221111121101), we get a palindrome (20333222233302).

The spelling of 10112111112201 in words is "ten trillion, one hundred twelve billion, one hundred eleven million, one hundred twelve thousand, two hundred one".