212010202000100 has 72 divisors (see below), whose sum is σ = 533190727859328. Its totient is φ = 71665420377600.

The previous prime is 212010202000073. The next prime is 212010202000117. The reversal of 212010202000100 is 1000202010212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2132849717 + ... + 2132949116.

It is an arithmetic number, because the mean of its divisors is an integer number (7405426775824).

Almost surely, 2^{212010202000100} is an apocalyptic number.

212010202000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010202000100 is an abundant number, since it is smaller than the sum of its proper divisors (321180525859228).

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

212010202000100 is a wasteful number, since it uses less digits than its factorization.

212010202000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265798925 (or 4265798918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212010202000100 its reverse (1000202010212), we get a palindrome (213010404010312).

The spelling of 212010202000100 in words is "two hundred twelve trillion, ten billion, two hundred two million, one hundred", and thus it is an aban number.