200201000101120 has 72 divisors (see below), whose sum is σ = 486113053597416. Its totient is φ = 78983408222208.

The previous prime is 200201000101111. The next prime is 200201000101153. The reversal of 200201000101120 is 21101000102002.

It can be written as a sum of positive squares in 4 ways, for example, as 18995371623424 + 181205628477696 = 4358368^2 + 13461264^2 .

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 = 200201000101097 and 200201000101106.

It is a congruent number.

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, 1071187597 + ... + 1071374476.

It is an arithmetic number, because the mean of its divisors is an integer number (6751570188853).

Almost surely, 2^{200201000101120} is an apocalyptic number.

200201000101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201000101120 is an abundant number, since it is smaller than the sum of its proper divisors (285912053496296).

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

200201000101120 is an equidigital number, since it uses as much as digits as its factorization.

200201000101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142562167 (or 2142562153 counting only the distinct ones).

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

Adding to 200201000101120 its reverse (21101000102002), we get a palindrome (221302000203122).

The spelling of 200201000101120 in words is "two hundred trillion, two hundred one billion, one hundred one thousand, one hundred twenty".