101101101121112 has 128 divisors (see below), whose sum is σ = 202350841804800. Its totient is φ = 47245352191488.

The previous prime is 101101101121087. The next prime is 101101101121121. The reversal of 101101101121112 is 211121101101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17494563839 + ... + 17494569617.

It is an arithmetic number, because the mean of its divisors is an integer number (1580865951600).

Almost surely, 2^{101101101121112} is an apocalyptic number.

It is an amenable number.

101101101121112 is an abundant number, since it is smaller than the sum of its proper divisors (101249740683688).

101101101121112 is a wasteful number, since it uses less digits than its factorization.

101101101121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8865 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101101101121112 its reverse (211121101101101), we get a palindrome (312222202222213).

The spelling of 101101101121112 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred twenty-one thousand, one hundred twelve".