101334112101 has 14 divisors (see below), whose sum is σ = 151931667110. Its totient is φ = 67556074248.

The previous prime is 101334112097. The next prime is 101334112153. The reversal of 101334112101 is 101211433101.

It is a happy number.

101334112101 is a `hidden beast` number, since 10 + 1 + 33 + 411 + 210 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101333988900 + 123201 = 318330^2 + 351^2 .

It is not a de Polignac number, because 101334112101 - 2² = 101334112097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101334112001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 69501406 + ... + 69502863.

Almost surely, 2^101334112101 is an apocalyptic number.

It is an amenable number.

101334112101 is a deficient number, since it is larger than the sum of its proper divisors (50597555009).

101334112101 is an frugal number, since it uses more digits than its factorization.

101334112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139004287 (or 139004272 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101334112101 its reverse (101211433101), we get a palindrome (202545545202).

The spelling of 101334112101 in words is "one hundred one billion, three hundred thirty-four million, one hundred twelve thousand, one hundred one".