101222221200100 has 288 divisors, whose sum is σ = 295118583201792. Its totient is φ = 29103036480000.

The previous prime is 101222221199837. The next prime is 101222221200101. The reversal of 101222221200100 is 1002122222101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101222221200101) by changing a digit.

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, 146903385 + ... + 147590815.

It is an arithmetic number, because the mean of its divisors is an integer number (1024717302784).

Almost surely, 2^{101222221200100} is an apocalyptic number.

101222221200100 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 101222221200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147559291600896).

101222221200100 is an abundant number, since it is smaller than the sum of its proper divisors (193896362001692).

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

101222221200100 is a wasteful number, since it uses less digits than its factorization.

101222221200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688947 (or 688940 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101222221200100 its reverse (1002122222101), we get a palindrome (102224343422201).

The spelling of 101222221200100 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred thousand, one hundred".