101112001101 has 12 divisors (see below), whose sum is σ = 146055200928. Its totient is φ = 67405908744.

The previous prime is 101112001099. The next prime is 101112001153. The reversal of 101112001101 is 101100211101.

It is not a de Polignac number, because 101112001101 - 2¹ = 101112001099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112001201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166936 + ... + 479678.

It is an arithmetic number, because the mean of its divisors is an integer number (12171266744).

Almost surely, 2^101112001101 is an apocalyptic number.

It is an amenable number.

101112001101 is a deficient number, since it is larger than the sum of its proper divisors (44943199827).

101112001101 is a wasteful number, since it uses less digits than its factorization.

101112001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348672 (or 348669 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101112001101 its reverse (101100211101), we get a palindrome (202212212202).

The spelling of 101112001101 in words is "one hundred one billion, one hundred twelve million, one thousand, one hundred one".