212100201000100 has 144 divisors (see below), whose sum is σ = 531883164798720. Its totient is φ = 71909710272000.

The previous prime is 212100201000097. The next prime is 212100201000169. The reversal of 212100201000100 is 1000102001212.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 54465841 + ... + 58229959.

It is an arithmetic number, because the mean of its divisors is an integer number (3693633088880).

Almost surely, 2^{212100201000100} is an apocalyptic number.

212100201000100 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 212100201000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265941582399360).

212100201000100 is an abundant number, since it is smaller than the sum of its proper divisors (319782963798620).

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

212100201000100 is a wasteful number, since it uses less digits than its factorization.

212100201000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765038 (or 3765031 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212100201000100 its reverse (1000102001212), we get a palindrome (213100303001312).

The spelling of 212100201000100 in words is "two hundred twelve trillion, one hundred billion, two hundred one million, one hundred", and thus it is an aban number.