212002012020100 has 18 divisors (see below), whose sum is σ = 460044366083834. Its totient is φ = 84800804808000.

The previous prime is 212002012020049. The next prime is 212002012020119. The reversal of 212002012020100 is 1020210200212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1565906855044 + 210436105165056 = 1251362^2 + 14506416^2 .

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 5 ways as a sum of consecutive naturals, for example, 1060010060001 + ... + 1060010060200.

Almost surely, 2^{212002012020100} is an apocalyptic number.

212002012020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002012020100 is an abundant number, since it is smaller than the sum of its proper divisors (248042354063734).

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

212002012020100 is a wasteful number, since it uses less digits than its factorization.

212002012020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120020120215 (or 2120020120208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212002012020100 its reverse (1020210200212), we get a palindrome (213022222220312).

The spelling of 212002012020100 in words is "two hundred twelve trillion, two billion, twelve million, twenty thousand, one hundred".