10112102111121 has 32 divisors (see below), whose sum is σ = 14113073829888. Its totient is φ = 6428111120640.

The previous prime is 10112102111119. The next prime is 10112102111123. The reversal of 10112102111121 is 12111120121101.

It is an interprime number because it is at equal distance from previous prime (10112102111119) and next prime (10112102111123).

It is not a de Polignac number, because 10112102111121 - 2¹ = 10112102111119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10112102111121.

It is not an unprimeable number, because it can be changed into a prime (10112102111123) 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 31 ways as a sum of consecutive naturals, for example, 99959356 + ... + 100060466.

It is an arithmetic number, because the mean of its divisors is an integer number (441033557184).

Almost surely, 2^{10112102111121} is an apocalyptic number.

It is an amenable number.

10112102111121 is a deficient number, since it is larger than the sum of its proper divisors (4000971718767).

10112102111121 is a wasteful number, since it uses less digits than its factorization.

10112102111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105661.

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

Adding to 10112102111121 its reverse (12111120121101), we get a palindrome (22223222232222).

The spelling of 10112102111121 in words is "ten trillion, one hundred twelve billion, one hundred two million, one hundred eleven thousand, one hundred twenty-one".