10214441100 has 216 divisors, whose sum is σ = 33196625280. Its totient is φ = 2624256000.

The previous prime is 10214441053. The next prime is 10214441119. The reversal of 10214441100 is 114441201.

10214441100 is a `hidden beast` number, since 1 + 0 + 214 + 441 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7504420 + ... + 7505780.

It is an arithmetic number, because the mean of its divisors is an integer number (153688080).

Almost surely, 2^10214441100 is an apocalyptic number.

10214441100 is a gapful number since it is divisible by the number (10) 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 10214441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16598312640).

10214441100 is an abundant number, since it is smaller than the sum of its proper divisors (22982184180).

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

10214441100 is a wasteful number, since it uses less digits than its factorization.

10214441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10214441100 its reverse (114441201), we get a palindrome (10328882301).

The spelling of 10214441100 in words is "ten billion, two hundred fourteen million, four hundred forty-one thousand, one hundred".