10210274000 has 80 divisors (see below), whose sum is σ = 24732948240. Its totient is φ = 4076748800.

The previous prime is 10210273949. The next prime is 10210274027. The reversal of 10210274000 is 47201201.

It can be written as a sum of positive squares in 8 ways, for example, as 4097536144 + 6112737856 = 64012^2 + 78184^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10210274000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1181696 + ... + 1190304.

It is an arithmetic number, because the mean of its divisors is an integer number (309161853).

Almost surely, 2^10210274000 is an apocalyptic number.

10210274000 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 10210274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12366474120).

10210274000 is an abundant number, since it is smaller than the sum of its proper divisors (14522674240).

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

10210274000 is an equidigital number, since it uses as much as digits as its factorization.

10210274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

Adding to 10210274000 its reverse (47201201), we get a palindrome (10257475201).

The spelling of 10210274000 in words is "ten billion, two hundred ten million, two hundred seventy-four thousand".