122222212002100 has 72 divisors (see below), whose sum is σ = 303116308064640. Its totient is φ = 41904036424320.

The previous prime is 122222212002091. The next prime is 122222212002229. The reversal of 122222212002100 is 1200212222221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39970386 + ... + 42919414.

It is an arithmetic number, because the mean of its divisors is an integer number (4209948723120).

Almost surely, 2^{122222212002100} is an apocalyptic number.

122222212002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122222212002100 is an abundant number, since it is smaller than the sum of its proper divisors (180894096062540).

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

122222212002100 is a wasteful number, since it uses less digits than its factorization.

122222212002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008257 (or 3008250 counting only the distinct ones).

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

Adding to 122222212002100 its reverse (1200212222221), we get a palindrome (123422424224321).

The spelling of 122222212002100 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two hundred twelve million, two thousand, one hundred".