2002100200120 has 32 divisors (see below), whose sum is σ = 4516611303600. Its totient is φ = 798727039488.

The previous prime is 2002100200097. The next prime is 2002100200157. The reversal of 2002100200120 is 210020012002.

It is a super-2 number, since 2×2002100200120² (a number of 25 digits) contains 22 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 = 2002100200097 and 2002100200106.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 66017169 + ... + 66047488.

Almost surely, 2^{2002100200120} is an apocalyptic number.

2002100200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002100200120 is an abundant number, since it is smaller than the sum of its proper divisors (2514511103480).

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

2002100200120 is a wasteful number, since it uses less digits than its factorization.

2002100200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132065047 (or 132065043 counting only the distinct ones).

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

Adding to 2002100200120 its reverse (210020012002), we get a palindrome (2212120212122).

The spelling of 2002100200120 in words is "two trillion, two billion, one hundred million, two hundred thousand, one hundred twenty".