212024424240100 has 144 divisors (see below), whose sum is σ = 489298148539200. Its totient is φ = 79470250168320.

The previous prime is 212024424240053. The next prime is 212024424240143. The reversal of 212024424240100 is 1042424420212.

It is a happy number.

212024424240100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5045896891 + ... + 5045938909.

It is an arithmetic number, because the mean of its divisors is an integer number (3397903809300).

Almost surely, 2^{212024424240100} is an apocalyptic number.

212024424240100 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 212024424240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244649074269600).

212024424240100 is an abundant number, since it is smaller than the sum of its proper divisors (277273724299100).

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

212024424240100 is a wasteful number, since it uses less digits than its factorization.

212024424240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55022 (or 55015 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 212024424240100 its reverse (1042424420212), we get a palindrome (213066848660312).

The spelling of 212024424240100 in words is "two hundred twelve trillion, twenty-four billion, four hundred twenty-four million, two hundred forty thousand, one hundred".