241214212100 has 72 divisors (see below), whose sum is σ = 554751634248. Its totient is φ = 90723788800.

The previous prime is 241214212013. The next prime is 241214212111. The reversal of 241214212100 is 1212412142.

It can be written as a sum of positive squares in 12 ways, for example, as 22772017216 + 218442194884 = 150904^2 + 467378^2 .

It is a super-2 number, since 2×241214212100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1736834 + ... + 1870566.

It is an arithmetic number, because the mean of its divisors is an integer number (7704883809).

Almost surely, 2^241214212100 is an apocalyptic number.

241214212100 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 241214212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277375817124).

241214212100 is an abundant number, since it is smaller than the sum of its proper divisors (313537422148).

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

241214212100 is a wasteful number, since it uses less digits than its factorization.

241214212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134825 (or 134818 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 241214212100 its reverse (1212412142), we get a palindrome (242426624242).

It can be divided in two parts, 2412142 and 12100, that added together give a palindrome (2424242).

The spelling of 241214212100 in words is "two hundred forty-one billion, two hundred fourteen million, two hundred twelve thousand, one hundred".