121122114301 has 16 divisors (see below), whose sum is σ = 128512563120. Its totient is φ = 113761428480.

The previous prime is 121122114293. The next prime is 121122114307. The reversal of 121122114301 is 103411221121.

It can be written as a sum of positive squares in 8 ways, for example, as 39640411801 + 81481702500 = 199099^2 + 285450^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122114301 - 2³ = 121122114293 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 (121122114307) 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, 23020011 + ... + 23025271.

It is an arithmetic number, because the mean of its divisors is an integer number (8032035195).

Almost surely, 2^121122114301 is an apocalyptic number.

It is an amenable number.

121122114301 is a deficient number, since it is larger than the sum of its proper divisors (7390448819).

121122114301 is a wasteful number, since it uses less digits than its factorization.

121122114301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 121122114301 its reverse (103411221121), we get a palindrome (224533335422).

The spelling of 121122114301 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred fourteen thousand, three hundred one".