122122011011121 has 24 divisors (see below), whose sum is σ = 192435537149856. Its totient is φ = 74013011879040.

The previous prime is 122122011011087. The next prime is 122122011011153. The reversal of 122122011011121 is 121110110221221.

It is a happy number.

122122011011121 is a `hidden beast` number, since 1 + 221 + 220 + 1 + 101 + 1 + 121 = 666.

It is not a de Polignac number, because 122122011011121 - 2⁹ = 122122011010609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122122011011094 and 122122011011103.

It is not an unprimeable number, because it can be changed into a prime (122122011012121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20720041 + ... + 25953113.

It is an arithmetic number, because the mean of its divisors is an integer number (8018147381244).

Almost surely, 2^{122122011011121} is an apocalyptic number.

122122011011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122122011011121 is a deficient number, since it is larger than the sum of its proper divisors (70313526138735).

122122011011121 is a wasteful number, since it uses less digits than its factorization.

122122011011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468813 (or 5468810 counting only the distinct ones).

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

Adding to 122122011011121 its reverse (121110110221221), we get a palindrome (243232121232342).

The spelling of 122122011011121 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, eleven million, eleven thousand, one hundred twenty-one".