122112322100 has 18 divisors (see below), whose sum is σ = 264983739174. Its totient is φ = 48844928800.

The previous prime is 122112322063. The next prime is 122112322109. The reversal of 122112322100 is 1223211221.

It can be written as a sum of positive squares in 3 ways, for example, as 37470893476 + 84641428624 = 193574^2 + 290932^2 .

It is a super-2 number, since 2×122112322100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112322109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610561511 + ... + 610561710.

It is an arithmetic number, because the mean of its divisors is an integer number (14721318843).

Almost surely, 2^122112322100 is an apocalyptic number.

122112322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112322100 is an abundant number, since it is smaller than the sum of its proper divisors (142871417074).

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

122112322100 is a wasteful number, since it uses less digits than its factorization.

122112322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221123235 (or 1221123228 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122112322100 its reverse (1223211221), we get a palindrome (123335533321).

The spelling of 122112322100 in words is "one hundred twenty-two billion, one hundred twelve million, three hundred twenty-two thousand, one hundred".