1000200110120 has 16 divisors (see below), whose sum is σ = 2250450247860. Its totient is φ = 400080044032.

The previous prime is 1000200110099. The next prime is 1000200110141. The reversal of 1000200110120 is 210110020001.

It is an interprime number because it is at equal distance from previous prime (1000200110099) and next prime (1000200110141).

It can be written as a sum of positive squares in 2 ways, for example, as 960835169284 + 39364940836 = 980222^2 + 198406^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1000200110098 and 1000200110107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12502501337 + ... + 12502501416.

Almost surely, 2^{1000200110120} is an apocalyptic number.

1000200110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000200110120 is an abundant number, since it is smaller than the sum of its proper divisors (1250250137740).

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

1000200110120 is a wasteful number, since it uses less digits than its factorization.

1000200110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25005002764 (or 25005002760 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000200110120 its reverse (210110020001), we get a palindrome (1210310130121).

The spelling of 1000200110120 in words is "one trillion, two hundred million, one hundred ten thousand, one hundred twenty".