122112011012121 has 32 divisors (see below), whose sum is σ = 194823416901120. Its totient is φ = 75145530771072.

The previous prime is 122112011012111. The next prime is 122112011012213. The reversal of 122112011012121 is 121210110211221.

It is a happy number.

122112011012121 is a `hidden beast` number, since 1 + 221 + 120 + 110 + 1 + 212 + 1 = 666.

It is not a de Polignac number, because 122112011012121 - 2²⁷ = 122111876794393 is a prime.

It is a super-2 number, since 2×122112011012121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112011012094 and 122112011012103.

It is not an unprimeable number, because it can be changed into a prime (122112011012111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100984336 + ... + 102186398.

It is an arithmetic number, because the mean of its divisors is an integer number (6088231778160).

Almost surely, 2^{122112011012121} is an apocalyptic number.

It is an amenable number.

122112011012121 is a deficient number, since it is larger than the sum of its proper divisors (72711405888999).

122112011012121 is a wasteful number, since it uses less digits than its factorization.

122112011012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491502 (or 1491496 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122112011012121 its reverse (121210110211221), we get a palindrome (243322121223342).

The spelling of 122112011012121 in words is "one hundred twenty-two trillion, one hundred twelve billion, eleven million, twelve thousand, one hundred twenty-one".