122222002100100 has 288 divisors, whose sum is σ = 428169371406336. Its totient is φ = 26277863270400.

The previous prime is 122222002100089. The next prime is 122222002100129. The reversal of 122222002100100 is 1001200222221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122222002100100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60517605 + ... + 62504595.

It is an arithmetic number, because the mean of its divisors is an integer number (1486699206272).

Almost surely, 2^{122222002100100} is an apocalyptic number.

122222002100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122222002100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214084685703168).

122222002100100 is an abundant number, since it is smaller than the sum of its proper divisors (305947369306236).

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

122222002100100 is a wasteful number, since it uses less digits than its factorization.

122222002100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988755 (or 1988748 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122222002100100 its reverse (1001200222221), we get a palindrome (123223202322321).

The spelling of 122222002100100 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two million, one hundred thousand, one hundred".