10210233202000 has 80 divisors (see below), whose sum is σ = 26587447325712. Its totient is φ = 3769932249600.

The previous prime is 10210233201989. The next prime is 10210233202009. The reversal of 10210233202000 is 20233201201.

It can be written as a sum of positive squares in 8 ways, for example, as 4442416151616 + 5767817050384 = 2107704^2 + 2401628^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210233202009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 196324639 + ... + 196376638.

Almost surely, 2^{10210233202000} is an apocalyptic number.

10210233202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210233202000 is an abundant number, since it is smaller than the sum of its proper divisors (16377214123712).

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

10210233202000 is a wasteful number, since it uses less digits than its factorization.

10210233202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392701313 (or 392701297 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10210233202000 its reverse (20233201201), we get a palindrome (10230466403201).

The spelling of 10210233202000 in words is "ten trillion, two hundred ten billion, two hundred thirty-three million, two hundred two thousand".