10210201001010 has 112 divisors (see below), whose sum is σ = 27594259369560. Its totient is φ = 2718834854400.

The previous prime is 10210201001009. The next prime is 10210201001047. The reversal of 10210201001010 is 1010010201201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10135289858409 + 74911142601 = 3183597^2 + 273699^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10210201000983 and 10210201001001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4111306 + ... + 6109274.

Almost surely, 2^{10210201001010} is an apocalyptic number.

10210201001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210201001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13797129684780).

10210201001010 is an abundant number, since it is smaller than the sum of its proper divisors (17384058368550).

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

10210201001010 is an equidigital number, since it uses as much as digits as its factorization.

10210201001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998695 (or 1998680 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10210201001010 its reverse (1010010201201), we get a palindrome (11220211202211).

The spelling of 10210201001010 in words is "ten trillion, two hundred ten billion, two hundred one million, one thousand, ten".