102200212211220 has 384 divisors, whose sum is σ = 327898177044480. Its totient is φ = 26417588313600.

The previous prime is 102200212211183. The next prime is 102200212211267. The reversal of 102200212211220 is 22112212002201.

It is a happy number.

102200212211220 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 0 + 212 + 211 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102200212211193 and 102200212211202.

It is a congruent number.

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, 595545549 + ... + 595717131.

It is an arithmetic number, because the mean of its divisors is an integer number (853901502720).

Almost surely, 2^{102200212211220} is an apocalyptic number.

102200212211220 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 102200212211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163949088522240).

102200212211220 is an abundant number, since it is smaller than the sum of its proper divisors (225697964833260).

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

102200212211220 is a wasteful number, since it uses less digits than its factorization.

102200212211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171932 (or 171924 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102200212211220 its reverse (22112212002201), we get a palindrome (124312424213421).

The spelling of 102200212211220 in words is "one hundred two trillion, two hundred billion, two hundred twelve million, two hundred eleven thousand, two hundred twenty".