121112320311101 has 24 divisors (see below), whose sum is σ = 142900008724440. Its totient is φ = 102336046227072.

The previous prime is 121112320311077. The next prime is 121112320311131. The reversal of 121112320311101 is 101113023211121.

It can be written as a sum of positive squares in 4 ways, for example, as 72163071163225 + 48949249147876 = 8494885^2 + 6996374^2 .

It is not a de Polignac number, because 121112320311101 - 2¹⁸ = 121112320048957 is a prime.

It is a super-2 number, since 2×121112320311101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112320311131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56501030 + ... + 58605383.

It is an arithmetic number, because the mean of its divisors is an integer number (5954167030185).

Almost surely, 2^{121112320311101} is an apocalyptic number.

It is an amenable number.

121112320311101 is a deficient number, since it is larger than the sum of its proper divisors (21787688413339).

121112320311101 is a wasteful number, since it uses less digits than its factorization.

121112320311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115106733 (or 115106726 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 121112320311101 its reverse (101113023211121), we get a palindrome (222225343522222).

The spelling of 121112320311101 in words is "one hundred twenty-one trillion, one hundred twelve billion, three hundred twenty million, three hundred eleven thousand, one hundred one".