101110201101 has 32 divisors (see below), whose sum is σ = 184360485120. Its totient is φ = 53332852032.

The previous prime is 101110201097. The next prime is 101110201117. The reversal of 101110201101 is 101102011101.

It is not a de Polignac number, because 101110201101 - 2² = 101110201097 is a prime.

It is a super-3 number, since 3×101110201101³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (101110201151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20573490 + ... + 20578403.

It is an arithmetic number, because the mean of its divisors is an integer number (5761265160).

Almost surely, 2^101110201101 is an apocalyptic number.

It is an amenable number.

101110201101 is a deficient number, since it is larger than the sum of its proper divisors (83250284019).

101110201101 is a wasteful number, since it uses less digits than its factorization.

101110201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41151922 (or 41151916 counting only the distinct ones).

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

Adding to 101110201101 its reverse (101102011101), we get a palindrome (202212212202).

The spelling of 101110201101 in words is "one hundred one billion, one hundred ten million, two hundred one thousand, one hundred one".