100211111112220 has 48 divisors (see below), whose sum is σ = 214922189196288. Its totient is φ = 39231339663680.

The previous prime is 100211111112209. The next prime is 100211111112227. The reversal of 100211111112220 is 22211111112001.

100211111112220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100211111112194 and 100211111112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211111112227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255881955 + ... + 256273285.

It is an arithmetic number, because the mean of its divisors is an integer number (4477545608256).

Almost surely, 2^{100211111112220} is an apocalyptic number.

100211111112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211111112220 is an abundant number, since it is smaller than the sum of its proper divisors (114711078084068).

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

100211111112220 is a wasteful number, since it uses less digits than its factorization.

100211111112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663810 (or 663808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100211111112220 its reverse (22211111112001), we get a palindrome (122422222224221).

The spelling of 100211111112220 in words is "one hundred trillion, two hundred eleven billion, one hundred eleven million, one hundred twelve thousand, two hundred twenty".