101301312101 has 8 divisors (see below), whose sum is σ = 110788891104. Its totient is φ = 91860127920.

The previous prime is 101301312071. The next prime is 101301312107. The reversal of 101301312101 is 101213103101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101301312101 - 2¹⁰ = 101301311077 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 (101301312107) 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 7 ways as a sum of consecutive naturals, for example, 11594135 + ... + 11602868.

It is an arithmetic number, because the mean of its divisors is an integer number (13848611388).

Almost surely, 2^101301312101 is an apocalyptic number.

101301312101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101301312101 is a deficient number, since it is larger than the sum of its proper divisors (9487579003).

101301312101 is a wasteful number, since it uses less digits than its factorization.

101301312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23197411.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101301312101 its reverse (101213103101), we get a palindrome (202514415202).

It can be divided in two parts, 10130 and 1312101, that added together give a palindrome (1322231).

The spelling of 101301312101 in words is "one hundred one billion, three hundred one million, three hundred twelve thousand, one hundred one".