101310322221 has 24 divisors (see below), whose sum is σ = 148001934080. Its totient is φ = 66775881600.

The previous prime is 101310322207. The next prime is 101310322247. The reversal of 101310322221 is 122223013101.

101310322221 is a `hidden beast` number, since 10 + 1 + 310 + 322 + 2 + 21 = 666.

It is not a de Polignac number, because 101310322221 - 2¹⁷ = 101310191149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101310322194 and 101310322203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310323221) 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 23 ways as a sum of consecutive naturals, for example, 133476 + ... + 469506.

Almost surely, 2^101310322221 is an apocalyptic number.

It is an amenable number.

101310322221 is a deficient number, since it is larger than the sum of its proper divisors (46691611859).

101310322221 is a wasteful number, since it uses less digits than its factorization.

101310322221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336417 (or 336414 counting only the distinct ones).

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

Adding to 101310322221 its reverse (122223013101), we get a palindrome (223533335322).

The spelling of 101310322221 in words is "one hundred one billion, three hundred ten million, three hundred twenty-two thousand, two hundred twenty-one".