102222110200100 has 216 divisors, whose sum is σ = 246267137519424. Its totient is φ = 36799202528000.

The previous prime is 102222110200061. The next prime is 102222110200103. The reversal of 102222110200100 is 1002011222201.

It is a super-2 number, since 2×102222110200100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102222110200103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1956265574 + ... + 1956317826.

It is an arithmetic number, because the mean of its divisors is an integer number (1140125636664).

Almost surely, 2^{102222110200100} is an apocalyptic number.

102222110200100 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 102222110200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123133568759712).

102222110200100 is an abundant number, since it is smaller than the sum of its proper divisors (144045027319324).

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

102222110200100 is a wasteful number, since it uses less digits than its factorization.

102222110200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53907 (or 53889 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102222110200100 its reverse (1002011222201), we get a palindrome (103224121422301).

It can be divided in two parts, 1022 and 22110200100, that added together give a palindrome (22110201122).

The spelling of 102222110200100 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred ten million, two hundred thousand, one hundred".