102210200222220 has 288 divisors, whose sum is σ = 318475218821760. Its totient is φ = 26525249372160.

The previous prime is 102210200222219. The next prime is 102210200222233. The reversal of 102210200222220 is 22222002012201.

102210200222220 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 0 + 200 + 222 + 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 = 102210200222193 and 102210200222202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 674414292 + ... + 674565828.

It is an arithmetic number, because the mean of its divisors is an integer number (1105816732020).

Almost surely, 2^{102210200222220} is an apocalyptic number.

102210200222220 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 102210200222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159237609410880).

102210200222220 is an abundant number, since it is smaller than the sum of its proper divisors (216265018599540).

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

102210200222220 is a wasteful number, since it uses less digits than its factorization.

102210200222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152305 (or 152300 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102210200222220 its reverse (22222002012201), we get a palindrome (124432202234421).

The spelling of 102210200222220 in words is "one hundred two trillion, two hundred ten billion, two hundred million, two hundred twenty-two thousand, two hundred twenty".