122222212120100 has 288 divisors, whose sum is σ = 274050435649536. Its totient is φ = 47290611916800.

The previous prime is 122222212120097. The next prime is 122222212120109. The reversal of 122222212120100 is 1021212222221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (122222212120109) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 103490441510 + ... + 103490442690.

It is an arithmetic number, because the mean of its divisors is an integer number (951564012672).

Almost surely, 2^{122222212120100} is an apocalyptic number.

122222212120100 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 122222212120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137025217824768).

122222212120100 is an abundant number, since it is smaller than the sum of its proper divisors (151828223529436).

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

122222212120100 is a wasteful number, since it uses less digits than its factorization.

122222212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122222212120100 its reverse (1021212222221), we get a palindrome (123243424342321).

The spelling of 122222212120100 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty thousand, one hundred".