101101221333321 has 16 divisors (see below), whose sum is σ = 147056818083840. Its totient is φ = 61273260747920.

The previous prime is 101101221333293. The next prime is 101101221333353. The reversal of 101101221333321 is 123333122101101.

It is a cyclic number.

It is not a de Polignac number, because 101101221333321 - 2¹³ = 101101221325129 is a prime.

It is a super-2 number, since 2×101101221333321² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101101221333291 and 101101221333300.

It is not an unprimeable number, because it can be changed into a prime (101101221333121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5063500 + ... + 15094418.

It is an arithmetic number, because the mean of its divisors is an integer number (9191051130240).

Almost surely, 2^{101101221333321} is an apocalyptic number.

101101221333321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101221333321 is a deficient number, since it is larger than the sum of its proper divisors (45955596750519).

101101221333321 is a wasteful number, since it uses less digits than its factorization.

101101221333321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336356.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101101221333321 its reverse (123333122101101), we get a palindrome (224434343434422).

The spelling of 101101221333321 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-one million, three hundred thirty-three thousand, three hundred twenty-one".