20001011101120 has 448 divisors, whose sum is σ = 56078661747456. Its totient is φ = 6653922508800.

The previous prime is 20001011101069. The next prime is 20001011101121. The reversal of 20001011101120 is 2110111010002.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 20001011101097 and 20001011101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001011101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2531449170 + ... + 2531457070.

Almost surely, 2^{20001011101120} is an apocalyptic number.

20001011101120 is a gapful number since it is divisible by the number (20) 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 20001011101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28039330873728).

20001011101120 is an abundant number, since it is smaller than the sum of its proper divisors (36077650646336).

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

20001011101120 is a wasteful number, since it uses less digits than its factorization.

20001011101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8238 counting only the distinct ones).

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

Adding to 20001011101120 its reverse (2110111010002), we get a palindrome (22111122111122).

The spelling of 20001011101120 in words is "twenty trillion, one billion, eleven million, one hundred one thousand, one hundred twenty".