122112202122121 has 8 divisors (see below), whose sum is σ = 122315186766080. Its totient is φ = 121909332261888.

The previous prime is 122112202122103. The next prime is 122112202122179. The reversal of 122112202122121 is 121221202211221.

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 122112202122121 - 2¹³ = 122112202113929 is a prime.

It is a super-2 number, since 2×122112202122121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122112202122092 and 122112202122101.

It is not an unprimeable number, because it can be changed into a prime (122112202122191) 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, 26566341 + ... + 30821986.

It is an arithmetic number, because the mean of its divisors is an integer number (15289398345760).

Almost surely, 2^{122112202122121} is an apocalyptic number.

It is an amenable number.

122112202122121 is a deficient number, since it is larger than the sum of its proper divisors (202984643959).

122112202122121 is an equidigital number, since it uses as much as digits as its factorization.

122112202122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57391863.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 122112202122121 its reverse (121221202211221), we get a palindrome (243333404333342).

It can be divided in two parts, 12211220 and 2122121, that added together give a palindrome (14333341).

The spelling of 122112202122121 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty-one".