20011102211100 has 1152 divisors, whose sum is σ = 80109816643584. Its totient is φ = 3721904640000.

The previous prime is 20011102211069. The next prime is 20011102211119. The reversal of 20011102211100 is 111220111002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 3455549205 + ... + 3455554995.

It is an arithmetic number, because the mean of its divisors is an integer number (69539771392).

Almost surely, 2^{20011102211100} is an apocalyptic number.

20011102211100 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 20011102211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40054908321792).

20011102211100 is an abundant number, since it is smaller than the sum of its proper divisors (60098714432484).

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

20011102211100 is a wasteful number, since it uses less digits than its factorization.

20011102211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6187 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20011102211100 its reverse (111220111002), we get a palindrome (20122322322102).

It can be divided in two parts, 20011102 and 211100, that added together give a palindrome (20222202).

The spelling of 20011102211100 in words is "twenty trillion, eleven billion, one hundred two million, two hundred eleven thousand, one hundred".