1221000211321 has 8 divisors (see below), whose sum is σ = 1374967980288. Its totient is φ = 1074193734000.

The previous prime is 1221000211279. The next prime is 1221000211363. The reversal of 1221000211321 is 1231120001221.

It is an interprime number because it is at equal distance from previous prime (1221000211279) and next prime (1221000211363).

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 1221000211321 - 2²⁹ = 1220463340409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1221000211295 and 1221000211304.

It is not an unprimeable number, because it can be changed into a prime (1221000211391) 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, 1790322550 + ... + 1790323231.

It is an arithmetic number, because the mean of its divisors is an integer number (171870997536).

Almost surely, 2^{1221000211321} is an apocalyptic number.

1221000211321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1221000211321 is a deficient number, since it is larger than the sum of its proper divisors (153967768967).

1221000211321 is a wasteful number, since it uses less digits than its factorization.

1221000211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580645823.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1221000211321 its reverse (1231120001221), we get a palindrome (2452120212542).

The spelling of 1221000211321 in words is "one trillion, two hundred twenty-one billion, two hundred eleven thousand, three hundred twenty-one".