10001200201120 has 48 divisors (see below), whose sum is σ = 23628415184640. Its totient is φ = 4000381928704.

The previous prime is 10001200201081. The next prime is 10001200201121. The reversal of 10001200201120 is 2110200210001.

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 = 10001200201097 and 10001200201106.

It is not an unprimeable number, because it can be changed into a prime (10001200201121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5958621 + ... + 7450339.

It is an arithmetic number, because the mean of its divisors is an integer number (492258649680).

Almost surely, 2^{10001200201120} is an apocalyptic number.

10001200201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001200201120 is an abundant number, since it is smaller than the sum of its proper divisors (13627214983520).

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

10001200201120 is a wasteful number, since it uses less digits than its factorization.

10001200201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533637 (or 1533629 counting only the distinct ones).

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

Adding to 10001200201120 its reverse (2110200210001), we get a palindrome (12111400411121).

The spelling of 10001200201120 in words is "ten trillion, one billion, two hundred million, two hundred one thousand, one hundred twenty".