102210200202222 has 96 divisors (see below), whose sum is σ = 254215024128000. Its totient is φ = 29073362279040.

The previous prime is 102210200202221. The next prime is 102210200202233. The reversal of 102210200202222 is 222202002012201.

102210200202222 is a `hidden beast` number, since 1 + 0 + 221 + 0 + 20 + 0 + 202 + 222 = 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 = 102210200202195 and 102210200202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210200202221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204992779 + ... + 205490777.

It is an arithmetic number, because the mean of its divisors is an integer number (2648073168000).

Almost surely, 2^{102210200202222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210200202222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127107512064000).

102210200202222 is an abundant number, since it is smaller than the sum of its proper divisors (152004823925778).

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

102210200202222 is a wasteful number, since it uses less digits than its factorization.

102210200202222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505238 (or 505235 counting only the distinct ones).

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

Adding to 102210200202222 its reverse (222202002012201), we get a palindrome (324412202214423).

The spelling of 102210200202222 in words is "one hundred two trillion, two hundred ten billion, two hundred million, two hundred two thousand, two hundred twenty-two".