100211222220220 has 576 divisors, whose sum is σ = 241126087265280. Its totient is φ = 34933824307200.

The previous prime is 100211222220211. The next prime is 100211222220247. The reversal of 100211222220220 is 22022222112001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 356623566480 + ... + 356623566760.

It is an arithmetic number, because the mean of its divisors is an integer number (418621679280).

Almost surely, 2^{100211222220220} is an apocalyptic number.

100211222220220 is a gapful number since it is divisible by the number (10) 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 100211222220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120563043632640).

100211222220220 is an abundant number, since it is smaller than the sum of its proper divisors (140914865045060).

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

100211222220220 is a wasteful number, since it uses less digits than its factorization.

100211222220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 100211222220220 its reverse (22022222112001), we get a palindrome (122233444332221).

The spelling of 100211222220220 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty".