10200020101120 has 96 divisors (see below), whose sum is σ = 24496490196360. Its totient is φ = 4076270714880.

The previous prime is 10200020101093. The next prime is 10200020101121. The reversal of 10200020101120 is 2110102000201.

It can be written as a sum of positive squares in 4 ways, for example, as 9694305690624 + 505714410496 = 3113568^2 + 711136^2 .

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 = 10200020101097 and 10200020101106.

It is not an unprimeable number, because it can be changed into a prime (10200020101121) 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, 10736650 + ... + 11647990.

Almost surely, 2^{10200020101120} is an apocalyptic number.

10200020101120 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 10200020101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12248245098180).

10200020101120 is an abundant number, since it is smaller than the sum of its proper divisors (14296470095240).

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

10200020101120 is an equidigital number, since it uses as much as digits as its factorization.

10200020101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912461 (or 912441 counting only the distinct ones).

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

Adding to 10200020101120 its reverse (2110102000201), we get a palindrome (12310122101321).

The spelling of 10200020101120 in words is "ten trillion, two hundred billion, twenty million, one hundred one thousand, one hundred twenty".