214240213121100 has 576 divisors, whose sum is σ = 685314162086400. Its totient is φ = 51533031997440.

The previous prime is 214240213121023. The next prime is 214240213121161. The reversal of 214240213121100 is 1121312042412.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 816529132 + ... + 816791468.

It is an arithmetic number, because the mean of its divisors is an integer number (1189781531400).

Almost surely, 2^{214240213121100} is an apocalyptic number.

214240213121100 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 214240213121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342657081043200).

214240213121100 is an abundant number, since it is smaller than the sum of its proper divisors (471073948965300).

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

214240213121100 is a wasteful number, since it uses less digits than its factorization.

214240213121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262522 (or 262515 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 214240213121100 its reverse (1121312042412), we get a palindrome (215361525163512).

The spelling of 214240213121100 in words is "two hundred fourteen trillion, two hundred forty billion, two hundred thirteen million, one hundred twenty-one thousand, one hundred".