100211221112220 has 96 divisors (see below), whose sum is σ = 328177098412800. Its totient is φ = 25316519015232.

The previous prime is 100211221112159. The next prime is 100211221112267. The reversal of 100211221112220 is 22211122112001.

100211221112220 is a `hidden beast` number, since 1 + 0 + 0 + 211 + 221 + 1 + 12 + 220 = 666.

100211221112220 is digitally balanced in base 4, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 100211221112193 and 100211221112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4883577514 + ... + 4883598033.

It is an arithmetic number, because the mean of its divisors is an integer number (3418511441800).

Almost surely, 2^{100211221112220} is an apocalyptic number.

100211221112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211221112220 is an abundant number, since it is smaller than the sum of its proper divisors (227965877300580).

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

100211221112220 is a wasteful number, since it uses less digits than its factorization.

100211221112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9767175584 (or 9767175576 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100211221112220 its reverse (22211122112001), we get a palindrome (122422343224221).

The spelling of 100211221112220 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twenty".