20100002002120 has 32 divisors (see below), whose sum is σ = 45246128006520. Its totient is φ = 8036245511680.

The previous prime is 20100002002117. The next prime is 20100002002141. The reversal of 20100002002120 is 2120020000102.

It can be written as a sum of positive squares in 4 ways, for example, as 15300598913604 + 4799403088516 = 3911598^2 + 2190754^2 .

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 = 20100002002097 and 20100002002106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117266077 + ... + 117437356.

Almost surely, 2^{20100002002120} is an apocalyptic number.

20100002002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100002002120 is an abundant number, since it is smaller than the sum of its proper divisors (25146126004400).

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

20100002002120 is a wasteful number, since it uses less digits than its factorization.

20100002002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234705585 (or 234705581 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20100002002120 its reverse (2120020000102), we get a palindrome (22220022002222).

The spelling of 20100002002120 in words is "twenty trillion, one hundred billion, two million, two thousand, one hundred twenty".