10100200201120 has 72 divisors (see below), whose sum is σ = 23982248729124. Its totient is φ = 4019775648768.

The previous prime is 10100200201109. The next prime is 10100200201141. The reversal of 10100200201120 is 2110200200101.

It can be written as a sum of positive squares in 2 ways, for example, as 8492305192336 + 1607895008784 = 2914156^2 + 1268028^2 .

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 = 10100200201097 and 10100200201106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5539132 + ... + 7133188.

Almost surely, 2^{10100200201120} is an apocalyptic number.

10100200201120 is a gapful number since it is divisible by the number (10) 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 10100200201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11991124364562).

10100200201120 is an abundant number, since it is smaller than the sum of its proper divisors (13882048528004).

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

10100200201120 is an equidigital number, since it uses as much as digits as its factorization.

10100200201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594470 (or 1594263 counting only the distinct ones).

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

Adding to 10100200201120 its reverse (2110200200101), we get a palindrome (12210400401221).

The spelling of 10100200201120 in words is "ten trillion, one hundred billion, two hundred million, two hundred one thousand, one hundred twenty".