121221323312101 has 8 divisors (see below), whose sum is σ = 121309801459160. Its totient is φ = 121132868318208.

The previous prime is 121221323312087. The next prime is 121221323312143. The reversal of 121221323312101 is 101213323122121.

It can be written as a sum of positive squares in 4 ways, for example, as 37010785155201 + 84210538156900 = 6083649^2 + 9176630^2 .

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 121221323312101 - 2¹³ = 121221323303909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221323312161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4693705 + ... + 16262641.

It is an arithmetic number, because the mean of its divisors is an integer number (15163725182395).

Almost surely, 2^{121221323312101} is an apocalyptic number.

It is an amenable number.

121221323312101 is a deficient number, since it is larger than the sum of its proper divisors (88478147059).

121221323312101 is a wasteful number, since it uses less digits than its factorization.

121221323312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11576583.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 121221323312101 its reverse (101213323122121), we get a palindrome (222434646434222).

The spelling of 121221323312101 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, three hundred twenty-three million, three hundred twelve thousand, one hundred one".