122102220222100 has 72 divisors (see below), whose sum is σ = 265950562059000. Its totient is φ = 48658691020800.

The previous prime is 122102220222091. The next prime is 122102220222119. The reversal of 122102220222100 is 1222022201221.

It can be written as a sum of positive squares in 12 ways, for example, as 45549729894916 + 76552490327184 = 6749054^2 + 8749428^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163985446 + ... + 164728354.

It is an arithmetic number, because the mean of its divisors is an integer number (3693757806375).

Almost surely, 2^{122102220222100} is an apocalyptic number.

122102220222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102220222100 is an abundant number, since it is smaller than the sum of its proper divisors (143848341836900).

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

122102220222100 is a wasteful number, since it uses less digits than its factorization.

122102220222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749053 (or 749046 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 122102220222100 its reverse (1222022201221), we get a palindrome (123324242423321).

The spelling of 122102220222100 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred twenty million, two hundred twenty-two thousand, one hundred".