212001001220100 has 72 divisors (see below), whose sum is σ = 613706890384000. Its totient is φ = 56504353610880.

The previous prime is 212001001220083. The next prime is 212001001220117. The reversal of 212001001220100 is 1022100100212.

It is an interprime number because it is at equal distance from previous prime (212001001220083) and next prime (212001001220117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182211100 + ... + 183370899.

Almost surely, 2^{212001001220100} is an apocalyptic number.

212001001220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001001220100 is an abundant number, since it is smaller than the sum of its proper divisors (401705889163900).

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

212001001220100 is a wasteful number, since it uses less digits than its factorization.

212001001220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365583949 (or 365583942 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212001001220100 its reverse (1022100100212), we get a palindrome (213023101320312).

The spelling of 212001001220100 in words is "two hundred twelve trillion, one billion, one million, two hundred twenty thousand, one hundred".