101012232113 has 8 divisors (see below), whose sum is σ = 109346045928. Its totient is φ = 92758938624.

The previous prime is 101012232107. The next prime is 101012232143. The reversal of 101012232113 is 311232210101.

It can be written as a sum of positive squares in 4 ways, for example, as 10942864 + 101001289249 = 3308^2 + 317807^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101012232113 - 2¹⁴ = 101012215729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012232091 and 101012232100.

It is not an unprimeable number, because it can be changed into a prime (101012232143) 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, 20127470 + ... + 20132487.

It is an arithmetic number, because the mean of its divisors is an integer number (13668255741).

Almost surely, 2^101012232113 is an apocalyptic number.

101012232113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101012232113 is a deficient number, since it is larger than the sum of its proper divisors (8333813815).

101012232113 is a wasteful number, since it uses less digits than its factorization.

101012232113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40260163.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101012232113 its reverse (311232210101), we get a palindrome (412244442214).

The spelling of 101012232113 in words is "one hundred one billion, twelve million, two hundred thirty-two thousand, one hundred thirteen".