122221121100100 has 72 divisors (see below), whose sum is σ = 289335892255200. Its totient is φ = 44443250553600.

The previous prime is 122221121100079. The next prime is 122221121100119. The reversal of 122221121100100 is 1001121122221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62494891 + ... + 64420909.

It is an arithmetic number, because the mean of its divisors is an integer number (4018554059100).

Almost surely, 2^{122221121100100} is an apocalyptic number.

122221121100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221121100100 is an abundant number, since it is smaller than the sum of its proper divisors (167114771155100).

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

122221121100100 is a wasteful number, since it uses less digits than its factorization.

122221121100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983733 (or 1983726 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122221121100100 its reverse (1001121122221), we get a palindrome (123222242222321).

The spelling of 122221121100100 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred thousand, one hundred".