10214602200 has 576 divisors, whose sum is σ = 39353210400. Its totient is φ = 2463436800.

The previous prime is 10214602171. The next prime is 10214602213. The reversal of 10214602200 is 220641201.

10214602200 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 460 + 2 + 200 = 666.

10214602200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52925304 + ... + 52925496.

Almost surely, 2^10214602200 is an apocalyptic number.

10214602200 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 10214602200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676605200).

10214602200 is an abundant number, since it is smaller than the sum of its proper divisors (29138608200).

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

10214602200 is a wasteful number, since it uses less digits than its factorization.

10214602200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 10214602200 in words is "ten billion, two hundred fourteen million, six hundred two thousand, two hundred".