220211122000100 has 432 divisors, whose sum is σ = 627874115651328. Its totient is φ = 65496816000000.

The previous prime is 220211122000099. The next prime is 220211122000159. The reversal of 220211122000100 is 1000221112022.

220211122000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 820015850 + ... + 820284350.

Almost surely, 2^{220211122000100} is an apocalyptic number.

220211122000100 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 220211122000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313937057825664).

220211122000100 is an abundant number, since it is smaller than the sum of its proper divisors (407662993651228).

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

220211122000100 is a wasteful number, since it uses less digits than its factorization.

220211122000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268988 (or 268970 counting only the distinct ones).

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

Adding to 220211122000100 its reverse (1000221112022), we get a palindrome (221211343112122).

The spelling of 220211122000100 in words is "two hundred twenty trillion, two hundred eleven billion, one hundred twenty-two million, one hundred", and thus it is an aban number.