20011011201100 has 72 divisors (see below), whose sum is σ = 43946380564128. Its totient is φ = 7908540595200.

The previous prime is 20011011201091. The next prime is 20011011201101. The reversal of 20011011201100 is 110211011002.

It is a super-3 number, since 3×20011011201100³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20011011201101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 788905 + ... + 6375295.

It is an arithmetic number, because the mean of its divisors is an integer number (610366396724).

Almost surely, 2^{20011011201100} is an apocalyptic number.

20011011201100 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 20011011201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21973190282064).

20011011201100 is an abundant number, since it is smaller than the sum of its proper divisors (23935369363028).

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

20011011201100 is a wasteful number, since it uses less digits than its factorization.

20011011201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586835 (or 5586828 counting only the distinct ones).

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

Adding to 20011011201100 its reverse (110211011002), we get a palindrome (20121222212102).

The spelling of 20011011201100 in words is "twenty trillion, eleven billion, eleven million, two hundred one thousand, one hundred".