101001011101112 has 64 divisors (see below), whose sum is σ = 198554440320000. Its totient is φ = 48074371196544.

The previous prime is 101001011101097. The next prime is 101001011101121. The reversal of 101001011101112 is 211101110100101.

It is a happy number.

101001011101112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101001011101093 and 101001011101102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74039318 + ... + 75391130.

It is an arithmetic number, because the mean of its divisors is an integer number (3102413130000).

Almost surely, 2^{101001011101112} is an apocalyptic number.

It is an amenable number.

101001011101112 is a deficient number, since it is larger than the sum of its proper divisors (97553429218888).

101001011101112 is a wasteful number, since it uses less digits than its factorization.

101001011101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353780 (or 1353776 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101001011101112 its reverse (211101110100101), we get a palindrome (312102121201213).

The spelling of 101001011101112 in words is "one hundred one trillion, one billion, eleven million, one hundred one thousand, one hundred twelve".