101001101100112 has 40 divisors (see below), whose sum is σ = 204198719641920. Its totient is φ = 48304675415040.

The previous prime is 101001101100103. The next prime is 101001101100161. The reversal of 101001101100112 is 211001101100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129418912 + ... + 130196992.

It is an arithmetic number, because the mean of its divisors is an integer number (5104967991048).

Almost surely, 2^{101001101100112} is an apocalyptic number.

It is an amenable number.

101001101100112 is an abundant number, since it is smaller than the sum of its proper divisors (103197618541808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101001101100112 is a wasteful number, since it uses less digits than its factorization.

101001101100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130851 (or 1130845 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101001101100112 its reverse (211001101100101), we get a palindrome (312002202200213).

The spelling of 101001101100112 in words is "one hundred one trillion, one billion, one hundred one million, one hundred thousand, one hundred twelve".