10500021101200 has 120 divisors (see below), whose sum is σ = 25260363501120. Its totient is φ = 4194341184000.

The previous prime is 10500021101149. The next prime is 10500021101201. The reversal of 10500021101200 is 210112000501.

It is a super-2 number, since 2×10500021101200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10500021101201) 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 23 ways as a sum of consecutive naturals, for example, 1211210466 + ... + 1211219134.

It is an arithmetic number, because the mean of its divisors is an integer number (210503029176).

Almost surely, 2^{10500021101200} is an apocalyptic number.

10500021101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500021101200 is an abundant number, since it is smaller than the sum of its proper divisors (14760342399920).

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

10500021101200 is a wasteful number, since it uses less digits than its factorization.

10500021101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12425 (or 12414 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 10500021101200 its reverse (210112000501), we get a palindrome (10710133101701).

The spelling of 10500021101200 in words is "ten trillion, five hundred billion, twenty-one million, one hundred one thousand, two hundred".