101331312101 has 4 divisors (see below), whose sum is σ = 101336645100. Its totient is φ = 101325979104.

The previous prime is 101331312079. The next prime is 101331312113. The reversal of 101331312101 is 101213133101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 79313203876 + 22018108225 = 281626^2 + 148385^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331312101 - 2³⁰ = 100257570277 is a prime.

It is a super-2 number, since 2×101331312101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101331312101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331312161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2637896 + ... + 2676033.

It is an arithmetic number, because the mean of its divisors is an integer number (25334161275).

Almost surely, 2^101331312101 is an apocalyptic number.

It is an amenable number.

101331312101 is a deficient number, since it is larger than the sum of its proper divisors (5332999).

101331312101 is an equidigital number, since it uses as much as digits as its factorization.

101331312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332998.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101331312101 its reverse (101213133101), we get a palindrome (202544445202).

The spelling of 101331312101 in words is "one hundred one billion, three hundred thirty-one million, three hundred twelve thousand, one hundred one".