122111212210121 has 8 divisors (see below), whose sum is σ = 123401587136520. Its totient is φ = 120821480068608.

The previous prime is 122111212210103. The next prime is 122111212210147. The reversal of 122111212210121 is 121012212111221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6024378800521 + 116086833409600 = 2454461^2 + 10774360^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122111212210121 is a prime.

It is a super-2 number, since 2×122111212210121² (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 = 122111212210093 and 122111212210102.

It is not an unprimeable number, because it can be changed into a prime (122111212210321) 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, 160314266 + ... + 161074163.

It is an arithmetic number, because the mean of its divisors is an integer number (15425198392065).

Almost surely, 2^{122111212210121} is an apocalyptic number.

It is an amenable number.

122111212210121 is a deficient number, since it is larger than the sum of its proper divisors (1290374926399).

122111212210121 is an equidigital number, since it uses as much as digits as its factorization.

122111212210121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321392443.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 122111212210121 its reverse (121012212111221), we get a palindrome (243123424321342).

The spelling of 122111212210121 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twelve million, two hundred ten thousand, one hundred twenty-one".