10002002010120 has 48 divisors (see below), whose sum is σ = 32506506534060. Its totient is φ = 2667200535936.

The previous prime is 10002002010107. The next prime is 10002002010193. The reversal of 10002002010120 is 2101020020001.

It can be written as a sum of positive squares in 2 ways, for example, as 9674998737156 + 327003272964 = 3110466^2 + 571842^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13891669099 + ... + 13891669818.

Almost surely, 2^{10002002010120} is an apocalyptic number.

10002002010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002002010120 is an abundant number, since it is smaller than the sum of its proper divisors (22504504523940).

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

10002002010120 is a wasteful number, since it uses less digits than its factorization.

10002002010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27783338934 (or 27783338927 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002002010120 its reverse (2101020020001), we get a palindrome (12103022030121).

The spelling of 10002002010120 in words is "ten trillion, two billion, two million, ten thousand, one hundred twenty".