10000210201120 has 24 divisors (see below), whose sum is σ = 23625496600524. Its totient is φ = 4000084080384.

The previous prime is 10000210201087. The next prime is 10000210201123. The reversal of 10000210201120 is 2110201200001.

It can be written as a sum of positive squares in 2 ways, for example, as 9978750295056 + 21459906064 = 3158916^2 + 146492^2 .

It is a super-3 number, since 3×10000210201120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10000210201097 and 10000210201106.

It is not an unprimeable number, because it can be changed into a prime (10000210201123) 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 3 ways as a sum of consecutive naturals, for example, 31250656719 + ... + 31250657038.

Almost surely, 2^{10000210201120} is an apocalyptic number.

10000210201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000210201120 is an abundant number, since it is smaller than the sum of its proper divisors (13625286399404).

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

10000210201120 is an equidigital number, since it uses as much as digits as its factorization.

10000210201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62501313772 (or 62501313764 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000210201120 its reverse (2110201200001), we get a palindrome (12110411401121).

The spelling of 10000210201120 in words is "ten trillion, two hundred ten million, two hundred one thousand, one hundred twenty".