121020320311101 has 12 divisors (see below), whose sum is σ = 174808447056828. Its totient is φ = 80679605362944.

The previous prime is 121020320311039. The next prime is 121020320311103. The reversal of 121020320311101 is 101113023020121.

121020320311101 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 20 + 320 + 311 + 10 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51887314791225 + 69133005519876 = 7203285^2 + 8314626^2 .

It is not a de Polignac number, because 121020320311101 - 2⁷ = 121020320310973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121020320311103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49419570 + ... + 51810563.

It is an arithmetic number, because the mean of its divisors is an integer number (14567370588069).

Almost surely, 2^{121020320311101} is an apocalyptic number.

It is an amenable number.

121020320311101 is a deficient number, since it is larger than the sum of its proper divisors (53788126745727).

121020320311101 is a wasteful number, since it uses less digits than its factorization.

121020320311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101362972 (or 101362969 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121020320311101 its reverse (101113023020121), we get a palindrome (222133343331222).

The spelling of 121020320311101 in words is "one hundred twenty-one trillion, twenty billion, three hundred twenty million, three hundred eleven thousand, one hundred one".