200000102110120 has 128 divisors (see below), whose sum is σ = 486815612774400. Its totient is φ = 73510992958464.

The previous prime is 200000102110117. The next prime is 200000102110199. The reversal of 200000102110120 is 21011201000002.

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 = 200000102110097 and 200000102110106.

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 31 ways as a sum of consecutive naturals, for example, 2833911154 + ... + 2833981726.

It is an arithmetic number, because the mean of its divisors is an integer number (3803246974800).

Almost surely, 2^{200000102110120} is an apocalyptic number.

200000102110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200000102110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243407806387200).

200000102110120 is an abundant number, since it is smaller than the sum of its proper divisors (286815510664280).

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

200000102110120 is a wasteful number, since it uses less digits than its factorization.

200000102110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95259 (or 95255 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200000102110120 its reverse (21011201000002), we get a palindrome (221011303110122).

The spelling of 200000102110120 in words is "two hundred trillion, one hundred two million, one hundred ten thousand, one hundred twenty".