121101310312321 has 16 divisors (see below), whose sum is σ = 128198191492800. Its totient is φ = 114199481043648.

The previous prime is 121101310312291. The next prime is 121101310312363. The reversal of 121101310312321 is 123213013101121.

It is not a de Polignac number, because 121101310312321 - 2⁷ = 121101310312193 is a prime.

It is a super-2 number, since 2×121101310312321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121101310312292 and 121101310312301.

It is not an unprimeable number, because it can be changed into a prime (121101310382321) 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, 18383730 + ... + 24086596.

It is an arithmetic number, because the mean of its divisors is an integer number (8012386968300).

Almost surely, 2^{121101310312321} is an apocalyptic number.

It is an amenable number.

121101310312321 is a deficient number, since it is larger than the sum of its proper divisors (7096881180479).

121101310312321 is a wasteful number, since it uses less digits than its factorization.

121101310312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719968.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 121101310312321 its reverse (123213013101121), we get a palindrome (244314323413442).

The spelling of 121101310312321 in words is "one hundred twenty-one trillion, one hundred one billion, three hundred ten million, three hundred twelve thousand, three hundred twenty-one".