10210214700 has 288 divisors, whose sum is σ = 37617592320. Its totient is φ = 2327270400.

The previous prime is 10210214689. The next prime is 10210214741. The reversal of 10210214700 is 741201201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11207245 + ... + 11208155.

It is an arithmetic number, because the mean of its divisors is an integer number (130616640).

Almost surely, 2^10210214700 is an apocalyptic number.

10210214700 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 10210214700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808796160).

10210214700 is an abundant number, since it is smaller than the sum of its proper divisors (27407377620).

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

10210214700 is a wasteful number, since it uses less digits than its factorization.

10210214700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 10210214700 its reverse (741201201), we get a palindrome (10951415901).

The spelling of 10210214700 in words is "ten billion, two hundred ten million, two hundred fourteen thousand, seven hundred".