101312032221 has 24 divisors (see below), whose sum is σ = 150312164184. Its totient is φ = 65708288640.

The previous prime is 101312032187. The next prime is 101312032223. The reversal of 101312032221 is 122230213101.

101312032221 is a `hidden beast` number, since 10 + 1 + 312 + 0 + 322 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28136372121 + 73175660100 = 167739^2 + 270510^2 .

It is not a de Polignac number, because 101312032221 - 2¹¹ = 101312030173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101312032194 and 101312032203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312032223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4970511 + ... + 4990851.

It is an arithmetic number, because the mean of its divisors is an integer number (6263006841).

Almost surely, 2^101312032221 is an apocalyptic number.

It is an amenable number.

101312032221 is a deficient number, since it is larger than the sum of its proper divisors (49000131963).

101312032221 is a wasteful number, since it uses less digits than its factorization.

101312032221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35341 (or 35338 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101312032221 its reverse (122230213101), we get a palindrome (223542245322).

The spelling of 101312032221 in words is "one hundred one billion, three hundred twelve million, thirty-two thousand, two hundred twenty-one".