101222220200100 has 288 divisors, whose sum is σ = 297058289136000. Its totient is φ = 26608910745600.

The previous prime is 101222220200089. The next prime is 101222220200201. The reversal of 101222220200100 is 1002022222101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101222220200100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10348857210 + ... + 10348866990.

Almost surely, 2^{101222220200100} is an apocalyptic number.

101222220200100 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 101222220200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148529144568000).

101222220200100 is an abundant number, since it is smaller than the sum of its proper divisors (195836068935900).

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

101222220200100 is a wasteful number, since it uses less digits than its factorization.

101222220200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11263 (or 11256 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101222220200100 its reverse (1002022222101), we get a palindrome (102224242422201).

The spelling of 101222220200100 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twenty million, two hundred thousand, one hundred".