101112210110121 has 32 divisors (see below), whose sum is σ = 159654588149760. Its totient is φ = 55720358313984.

The previous prime is 101112210110113. The next prime is 101112210110129. The reversal of 101112210110121 is 121011012211101.

It is an interprime number because it is at equal distance from previous prime (101112210110113) and next prime (101112210110129).

It is not a de Polignac number, because 101112210110121 - 2³ = 101112210110113 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101112210110121.

It is not an unprimeable number, because it can be changed into a prime (101112210110129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708622680 + ... + 708765353.

It is an arithmetic number, because the mean of its divisors is an integer number (4989205879680).

Almost surely, 2^{101112210110121} is an apocalyptic number.

It is an amenable number.

101112210110121 is a deficient number, since it is larger than the sum of its proper divisors (58542378039639).

101112210110121 is a wasteful number, since it uses less digits than its factorization.

101112210110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417388165.

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

Adding to 101112210110121 its reverse (121011012211101), we get a palindrome (222123222321222).

The spelling of 101112210110121 in words is "one hundred one trillion, one hundred twelve billion, two hundred ten million, one hundred ten thousand, one hundred twenty-one".