10202012210000 has 100 divisors (see below), whose sum is σ = 26600099159172. Its totient is φ = 3766896768000.

The previous prime is 10202012209979. The next prime is 10202012210017. The reversal of 10202012210000 is 1221020201.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 6942297510976 + 3259714699024 = 2634824^2 + 1805468^2 .

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

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, 39108509 + ... + 39368508.

Almost surely, 2^{10202012210000} is an apocalyptic number.

10202012210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202012210000 is an abundant number, since it is smaller than the sum of its proper divisors (16398086949172).

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

10202012210000 is an equidigital number, since it uses as much as digits as its factorization.

10202012210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78477058 (or 78477037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10202012210000 its reverse (1221020201), we get a palindrome (10203233230201).

The spelling of 10202012210000 in words is "ten trillion, two hundred two billion, twelve million, two hundred ten thousand".