101102000011112 has 32 divisors (see below), whose sum is σ = 193978491094080. Its totient is φ = 49374447521280.

The previous prime is 101102000011073. The next prime is 101102000011141. The reversal of 101102000011112 is 211110000201101.

It is a super-2 number, since 2×101102000011112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101102000011093 and 101102000011102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15293912 + ... + 20883192.

It is an arithmetic number, because the mean of its divisors is an integer number (6061827846690).

Almost surely, 2^{101102000011112} is an apocalyptic number.

It is an amenable number.

101102000011112 is a deficient number, since it is larger than the sum of its proper divisors (92876491082968).

101102000011112 is a wasteful number, since it uses less digits than its factorization.

101102000011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641913 (or 5641909 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101102000011112 its reverse (211110000201101), we get a palindrome (312212000212213).

The spelling of 101102000011112 in words is "one hundred one trillion, one hundred two billion, eleven thousand, one hundred twelve".