10200002210000 has 100 divisors (see below), whose sum is σ = 26147886101172. Its totient is φ = 3840000768000.

The previous prime is 10200002209933. The next prime is 10200002210029. The reversal of 10200002210000 is 1220000201.

It can be written as a sum of positive squares in 10 ways, for example, as 9411593180224 + 788409029776 = 3067832^2 + 887924^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10200002210000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29830007 + ... + 30170006.

Almost surely, 2^{10200002210000} is an apocalyptic number.

10200002210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200002210000 is an abundant number, since it is smaller than the sum of its proper divisors (15947883891172).

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

10200002210000 is an equidigital number, since it uses as much as digits as its factorization.

10200002210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60000058 (or 60000037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10200002210000 its reverse (1220000201), we get a palindrome (10201222210201).

The spelling of 10200002210000 in words is "ten trillion, two hundred billion, two million, two hundred ten thousand".