212011001002100 has 72 divisors (see below), whose sum is σ = 467119545560640. Its totient is φ = 83507568986880.

The previous prime is 212011001002061. The next prime is 212011001002267. The reversal of 212011001002100 is 1200100110212.

It is a super-3 number, since 3×212011001002100³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18940592 + ... + 27977991.

It is an arithmetic number, because the mean of its divisors is an integer number (6487771466120).

Almost surely, 2^{212011001002100} is an apocalyptic number.

212011001002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011001002100 is an abundant number, since it is smaller than the sum of its proper divisors (255108544558540).

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

212011001002100 is a wasteful number, since it uses less digits than its factorization.

212011001002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46919289 (or 46919282 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212011001002100 its reverse (1200100110212), we get a palindrome (213211101112312).

The spelling of 212011001002100 in words is "two hundred twelve trillion, eleven billion, one million, two thousand, one hundred".