122212212121100 has 72 divisors (see below), whose sum is σ = 265589337527808. Its totient is φ = 48813225652800.

The previous prime is 122212212121031. The next prime is 122212212121151. The reversal of 122212212121100 is 1121212212221.

It is a super-2 number, since 2×122212212121100² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646835645 + ... + 647024555.

Almost surely, 2^{122212212121100} is an apocalyptic number.

122212212121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212212121100 is an abundant number, since it is smaller than the sum of its proper divisors (143377125406708).

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

122212212121100 is a wasteful number, since it uses less digits than its factorization.

122212212121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198375 (or 198368 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122212212121100 its reverse (1121212212221), we get a palindrome (123333424333321).

It can be divided in two parts, 122212212121 and 100, that added together give a palindrome (122212212221).

The spelling of 122212212121100 in words is "one hundred twenty-two trillion, two hundred twelve billion, two hundred twelve million, one hundred twenty-one thousand, one hundred".