10001202110120 has 64 divisors (see below), whose sum is σ = 25069326282000. Its totient is φ = 3565415282688.

The previous prime is 10001202110111. The next prime is 10001202110129. The reversal of 10001202110120 is 2101120210001.

It is an interprime number because it is at equal distance from previous prime (10001202110111) and next prime (10001202110129).

It can be written as a sum of positive squares in 8 ways, for example, as 777991033444 + 9223211076676 = 882038^2 + 3036974^2 .

It is not an unprimeable number, because it can be changed into a prime (10001202110129) 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 15 ways as a sum of consecutive naturals, for example, 331589765 + ... + 331619924.

Almost surely, 2^{10001202110120} is an apocalyptic number.

10001202110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001202110120 is an abundant number, since it is smaller than the sum of its proper divisors (15068124171880).

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

10001202110120 is a wasteful number, since it uses less digits than its factorization.

10001202110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663209742 (or 663209738 counting only the distinct ones).

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

Adding to 10001202110120 its reverse (2101120210001), we get a palindrome (12102322320121).

The spelling of 10001202110120 in words is "ten trillion, one billion, two hundred two million, one hundred ten thousand, one hundred twenty".