122301020001121 has 8 divisors (see below), whose sum is σ = 131717536004264. Its totient is φ = 112885753317120.

The previous prime is 122301020001119. The next prime is 122301020001143. The reversal of 122301020001121 is 121100020103221.

It can be written as a sum of positive squares in 4 ways, for example, as 401601600 + 122300618399521 = 20040^2 + 11058961^2 .

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 122301020001121 - 2¹ = 122301020001119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122301020001095 and 122301020001104.

It is not an unprimeable number, because it can be changed into a prime (122301020001191) 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, 312126456 + ... + 312518041.

It is an arithmetic number, because the mean of its divisors is an integer number (16464692000533).

Almost surely, 2^{122301020001121} is an apocalyptic number.

It is an amenable number.

122301020001121 is a deficient number, since it is larger than the sum of its proper divisors (9416516003143).

122301020001121 is a wasteful number, since it uses less digits than its factorization.

122301020001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624659571.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 122301020001121 its reverse (121100020103221), we get a palindrome (243401040104342).

The spelling of 122301020001121 in words is "one hundred twenty-two trillion, three hundred one billion, twenty million, one thousand, one hundred twenty-one".