10011201110020 has 384 divisors, whose sum is σ = 25164682905600. Its totient is φ = 3308580656640.

The previous prime is 10011201110011. The next prime is 10011201110033. The reversal of 10011201110020 is 2001110211001.

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 = 10011201109979 and 10011201110006.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28850723487 + ... + 28850723833.

It is an arithmetic number, because the mean of its divisors is an integer number (65533028400).

Almost surely, 2^{10011201110020} is an apocalyptic number.

10011201110020 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 10011201110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582341452800).

10011201110020 is an abundant number, since it is smaller than the sum of its proper divisors (15153481795580).

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

10011201110020 is a wasteful number, since it uses less digits than its factorization.

10011201110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011201110020 its reverse (2001110211001), we get a palindrome (12012311321021).

It can be divided in two parts, 1001 and 1201110020, that added together give a palindrome (1201111021).

The spelling of 10011201110020 in words is "ten trillion, eleven billion, two hundred one million, one hundred ten thousand, twenty".