122101222002122 has 48 divisors (see below), whose sum is σ = 201401143629000. Its totient is φ = 55476992102400.

The previous prime is 122101222002119. The next prime is 122101222002131. The reversal of 122101222002122 is 221200222101221.

It can be written as a sum of positive squares in 4 ways, for example, as 67174432392001 + 54926789610121 = 8196001^2 + 7411261^2 .

It is a super-2 number, since 2×122101222002122² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122101222002094 and 122101222002103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7802485754 + ... + 7802501402.

Almost surely, 2^{122101222002122} is an apocalyptic number.

122101222002122 is a deficient number, since it is larger than the sum of its proper divisors (79299921626878).

122101222002122 is a wasteful number, since it uses less digits than its factorization.

122101222002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27303 (or 27292 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122101222002122 its reverse (221200222101221), we get a palindrome (343301444103343).

Subtracting 122101222002122 from its reverse (221200222101221), we obtain a palindrome (99099000099099).

The spelling of 122101222002122 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-two million, two thousand, one hundred twenty-two".