122102002122100 has 576 divisors, whose sum is σ = 364221800312832. Its totient is φ = 34294772736000.

The previous prime is 122102002122083. The next prime is 122102002122119. The reversal of 122102002122100 is 1221200201221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9301585737 + ... + 9301598863.

It is an arithmetic number, because the mean of its divisors is an integer number (632329514432).

Almost surely, 2^{122102002122100} is an apocalyptic number.

122102002122100 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 122102002122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182110900156416).

122102002122100 is an abundant number, since it is smaller than the sum of its proper divisors (242119798190732).

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

122102002122100 is a wasteful number, since it uses less digits than its factorization.

122102002122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15376 (or 15369 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122102002122100 its reverse (1221200201221), we get a palindrome (123323202323321).

The spelling of 122102002122100 in words is "one hundred twenty-two trillion, one hundred two billion, two million, one hundred twenty-two thousand, one hundred".