122111012122121 has 8 divisors (see below), whose sum is σ = 133222681429824. Its totient is φ = 111001120848720.

The previous prime is 122111012122103. The next prime is 122111012122123. The reversal of 122111012122121 is 121221210111221.

It is a happy number.

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 122111012122121 - 2¹⁰ = 122111012121097 is a prime.

It is a super-2 number, since 2×122111012122121² (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 = 122111012122093 and 122111012122102.

It is not an unprimeable number, because it can be changed into a prime (122111012122123) 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, 444364970 + ... + 444639683.

It is an arithmetic number, because the mean of its divisors is an integer number (16652835178728).

Almost surely, 2^{122111012122121} is an apocalyptic number.

122111012122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122111012122121 is a deficient number, since it is larger than the sum of its proper divisors (11111669307703).

122111012122121 is a wasteful number, since it uses less digits than its factorization.

122111012122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889017151.

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

Adding to 122111012122121 its reverse (121221210111221), we get a palindrome (243332222233342).

The spelling of 122111012122121 in words is "one hundred twenty-two trillion, one hundred eleven billion, twelve million, one hundred twenty-two thousand, one hundred twenty-one".