4214104120100 has 216 divisors, whose sum is σ = 10960155958248. Its totient is φ = 1401674803200.

The previous prime is 4214104120043. The next prime is 4214104120103. The reversal of 4214104120100 is 10214014124.

It can be written as a sum of positive squares in 12 ways, for example, as 3527101851364 + 687002268736 = 1878058^2 + 828856^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4214104120103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21723134 + ... + 21916266.

Almost surely, 2^{4214104120100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214104120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480077979124).

4214104120100 is an abundant number, since it is smaller than the sum of its proper divisors (6746051838148).

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

4214104120100 is a wasteful number, since it uses less digits than its factorization.

4214104120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193295 (or 193281 counting only the distinct ones).

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

Adding to 4214104120100 its reverse (10214014124), we get a palindrome (4224318134224).

The spelling of 4214104120100 in words is "four trillion, two hundred fourteen billion, one hundred four million, one hundred twenty thousand, one hundred".