101212311321 has 32 divisors (see below), whose sum is σ = 164098208640. Its totient is φ = 61144761600.

The previous prime is 101212311313. The next prime is 101212311337. The reversal of 101212311321 is 123113212101.

101212311321 is a `hidden beast` number, since 10 + 1 + 21 + 2 + 311 + 321 = 666.

It is not a de Polignac number, because 101212311321 - 2³ = 101212311313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101212311294 and 101212311303.

It is not an unprimeable number, because it can be changed into a prime (101212312321) 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 31 ways as a sum of consecutive naturals, for example, 451420 + ... + 637341.

It is an arithmetic number, because the mean of its divisors is an integer number (5128069020).

Almost surely, 2^101212311321 is an apocalyptic number.

101212311321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212311321 is a deficient number, since it is larger than the sum of its proper divisors (62885897319).

101212311321 is a wasteful number, since it uses less digits than its factorization.

101212311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089094 (or 1089088 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101212311321 its reverse (123113212101), we get a palindrome (224325523422).

The spelling of 101212311321 in words is "one hundred one billion, two hundred twelve million, three hundred eleven thousand, three hundred twenty-one".