212122112121100 has 72 divisors (see below), whose sum is σ = 475921150208000. Its totient is φ = 81979132276800.

The previous prime is 212122112121041. The next prime is 212122112121113. The reversal of 212122112121100 is 1121211221212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53352900 + ... + 57190699.

Almost surely, 2^{212122112121100} is an apocalyptic number.

212122112121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122112121100 is an abundant number, since it is smaller than the sum of its proper divisors (263799038086900).

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

212122112121100 is a wasteful number, since it uses less digits than its factorization.

212122112121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110544263 (or 110544256 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 212122112121100 its reverse (1121211221212), we get a palindrome (213243323342312).

The spelling of 212122112121100 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred".