121020111100205 has 8 divisors (see below), whose sum is σ = 145224201243672. Its totient is φ = 96816043597888.

The previous prime is 121020111100201. The next prime is 121020111100219. The reversal of 121020111100205 is 502001111020121.

It can be written as a sum of positive squares in 4 ways, for example, as 1095250157764 + 119924860942441 = 1046542^2 + 10951021^2 .

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 121020111100205 - 2² = 121020111100201 is a prime.

It is a super-3 number, since 3×121020111100205³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121020111100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10076387 + ... + 18535743.

It is an arithmetic number, because the mean of its divisors is an integer number (18153025155459).

Almost surely, 2^{121020111100205} is an apocalyptic number.

It is an amenable number.

121020111100205 is a deficient number, since it is larger than the sum of its proper divisors (24204090143467).

121020111100205 is an equidigital number, since it uses as much as digits as its factorization.

121020111100205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11320575.

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 121020111100205 its reverse (502001111020121), we get a palindrome (623021222120326).

The spelling of 121020111100205 in words is "one hundred twenty-one trillion, twenty billion, one hundred eleven million, one hundred thousand, two hundred five".