102200100101220 has 384 divisors, whose sum is σ = 329555516129280. Its totient is φ = 23438638080000.

The previous prime is 102200100101153. The next prime is 102200100101273. The reversal of 102200100101220 is 22101001002201.

102200100101220 is digitally balanced in base 3, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 102200100101196 and 102200100101205.

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 127 ways as a sum of consecutive naturals, for example, 162937324 + ... + 163563356.

It is an arithmetic number, because the mean of its divisors is an integer number (858217489920).

Almost surely, 2^{102200100101220} is an apocalyptic number.

102200100101220 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 102200100101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164777758064640).

102200100101220 is an abundant number, since it is smaller than the sum of its proper divisors (227355416028060).

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

102200100101220 is a wasteful number, since it uses less digits than its factorization.

102200100101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626267 (or 626265 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102200100101220 its reverse (22101001002201), we get a palindrome (124301101103421).

The spelling of 102200100101220 in words is "one hundred two trillion, two hundred billion, one hundred million, one hundred one thousand, two hundred twenty".