20011220212100 has 432 divisors, whose sum is σ = 49958464203648. Its totient is φ = 6902310666240.

The previous prime is 20011220211967. The next prime is 20011220212103. The reversal of 20011220212100 is 121202211002.

It is not an unprimeable number, because it can be changed into a prime (20011220212103) 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 143 ways as a sum of consecutive naturals, for example, 23350314872 + ... + 23350315728.

It is an arithmetic number, because the mean of its divisors is an integer number (115644593064).

Almost surely, 2^{20011220212100} is an apocalyptic number.

20011220212100 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 20011220212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24979232101824).

20011220212100 is an abundant number, since it is smaller than the sum of its proper divisors (29947243991548).

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

20011220212100 is a wasteful number, since it uses less digits than its factorization.

20011220212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20011220212100 its reverse (121202211002), we get a palindrome (20132422423102).

The spelling of 20011220212100 in words is "twenty trillion, eleven billion, two hundred twenty million, two hundred twelve thousand, one hundred".