10002110201120 has 24 divisors (see below), whose sum is σ = 23629985350524. Its totient is φ = 4000844080384.

The previous prime is 10002110201113. The next prime is 10002110201123. The reversal of 10002110201120 is 2110201120001.

It can be written as a sum of positive squares in 2 ways, for example, as 9992957834896 + 9152366224 = 3161164^2 + 95668^2 .

It is not an unprimeable number, because it can be changed into a prime (10002110201123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 31256594219 + ... + 31256594538.

Almost surely, 2^{10002110201120} is an apocalyptic number.

10002110201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002110201120 is an abundant number, since it is smaller than the sum of its proper divisors (13627875149404).

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

10002110201120 is an equidigital number, since it uses as much as digits as its factorization.

10002110201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62513188772 (or 62513188764 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002110201120 its reverse (2110201120001), we get a palindrome (12112311321121).

The spelling of 10002110201120 in words is "ten trillion, two billion, one hundred ten million, two hundred one thousand, one hundred twenty".