122102011102112 has 48 divisors (see below), whose sum is σ = 240483702299400. Its totient is φ = 61026787971072.

The previous prime is 122102011102081. The next prime is 122102011102121. The reversal of 122102011102112 is 211201110201221.

It can be written as a sum of positive squares in 4 ways, for example, as 19335051242896 + 102766959859216 = 4397164^2 + 10137404^2 .

It is a super-2 number, since 2×122102011102112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1810145378 + ... + 1810212830.

Almost surely, 2^{122102011102112} is an apocalyptic number.

It is an amenable number.

122102011102112 is a deficient number, since it is larger than the sum of its proper divisors (118381691197288).

122102011102112 is a wasteful number, since it uses less digits than its factorization.

122102011102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89065 (or 89057 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122102011102112 its reverse (211201110201221), we get a palindrome (333303121303333).

The spelling of 122102011102112 in words is "one hundred twenty-two trillion, one hundred two billion, eleven million, one hundred two thousand, one hundred twelve".