101121112118 has 32 divisors (see below), whose sum is σ = 164669500800. Its totient is φ = 46294992000.

The previous prime is 101121112117. The next prime is 101121112133. The reversal of 101121112118 is 811211121101.

It is a super-2 number, since 2×101121112118² (a number of 23 digits) contains 22 as substring.

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 101121112118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121112117) 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, 2891996 + ... + 2926752.

It is an arithmetic number, because the mean of its divisors is an integer number (5145921900).

Almost surely, 2^101121112118 is an apocalyptic number.

101121112118 is a deficient number, since it is larger than the sum of its proper divisors (63548388682).

101121112118 is a wasteful number, since it uses less digits than its factorization.

101121112118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35672.

The product of its (nonzero) digits is 32, while the sum is 20.

Adding to 101121112118 its reverse (811211121101), we get a palindrome (912332233219).

The spelling of 101121112118 in words is "one hundred one billion, one hundred twenty-one million, one hundred twelve thousand, one hundred eighteen".