212100101002100 has 144 divisors (see below), whose sum is σ = 469961811768960. Its totient is φ = 83064699916800.

The previous prime is 212100101002081. The next prime is 212100101002151. The reversal of 212100101002100 is 1200101001212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1499473979 + ... + 1499615421.

It is an arithmetic number, because the mean of its divisors is an integer number (3263623692840).

Almost surely, 2^{212100101002100} is an apocalyptic number.

212100101002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212100101002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234980905884480).

212100101002100 is an abundant number, since it is smaller than the sum of its proper divisors (257861710766860).

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

212100101002100 is a wasteful number, since it uses less digits than its factorization.

212100101002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142650 (or 142643 counting only the distinct ones).

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

Adding to 212100101002100 its reverse (1200101001212), we get a palindrome (213300202003312).

The spelling of 212100101002100 in words is "two hundred twelve trillion, one hundred billion, one hundred one million, two thousand, one hundred".