212121022220100 has 180 divisors, whose sum is σ = 785842918084224. Its totient is φ = 48484805065920.

The previous prime is 212121022220083. The next prime is 212121022220113. The reversal of 212121022220100 is 1022220121212.

It is a happy number.

212121022220100 is a `hidden beast` number, since 21 + 212 + 10 + 222 + 201 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×212121022220100³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1870499052 + ... + 1870612451.

Almost surely, 2^{212121022220100} is an apocalyptic number.

212121022220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121022220100 is an abundant number, since it is smaller than the sum of its proper divisors (573721895864124).

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

212121022220100 is a wasteful number, since it uses less digits than its factorization.

212121022220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741111536 (or 3741111520 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212121022220100 its reverse (1022220121212), we get a palindrome (213143242341312).

The spelling of 212121022220100 in words is "two hundred twelve trillion, one hundred twenty-one billion, twenty-two million, two hundred twenty thousand, one hundred".