10222211121122 has 384 divisors, whose sum is σ = 22159763619840. Its totient is φ = 3424164606720.

The previous prime is 10222211121097. The next prime is 10222211121181. The reversal of 10222211121122 is 22112111222201.

It is a junction number, because it is equal to n+sod(n) for n = 10222211121094 and 10222211121103.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10794309053 + ... + 10794309999.

It is an arithmetic number, because the mean of its divisors is an integer number (57707717760).

Almost surely, 2^{10222211121122} is an apocalyptic number.

10222211121122 is an abundant number, since it is smaller than the sum of its proper divisors (11937552498718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10222211121122 is a wasteful number, since it uses less digits than its factorization.

10222211121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10222211121122 its reverse (22112111222201), we get a palindrome (32334322343323).

The spelling of 10222211121122 in words is "ten trillion, two hundred twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-two".