212101100100 has 360 divisors, whose sum is σ = 740359176480. Its totient is φ = 52328954880.

The previous prime is 212101100051. The next prime is 212101100111. The reversal of 212101100100 is 1001101212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8111247 + ... + 8137353.

It is an arithmetic number, because the mean of its divisors is an integer number (2056553268).

Almost surely, 2^212101100100 is an apocalyptic number.

212101100100 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 212101100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370179588240).

212101100100 is an abundant number, since it is smaller than the sum of its proper divisors (528258076380).

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

212101100100 is a wasteful number, since it uses less digits than its factorization.

212101100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26209 (or 26193 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212101100100 its reverse (1001101212), we get a palindrome (213102201312).

The spelling of 212101100100 in words is "two hundred twelve billion, one hundred one million, one hundred thousand, one hundred".