102221220021102 has 384 divisors, whose sum is σ = 284720827023360. Its totient is φ = 25787338536960.

The previous prime is 102221220020947. The next prime is 102221220021113. The reversal of 102221220021102 is 201120022122201.

It is a happy number.

102221220021102 is a `hidden beast` number, since 10 + 2 + 221 + 220 + 0 + 211 + 0 + 2 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 1115528827 + ... + 1115620457.

It is an arithmetic number, because the mean of its divisors is an integer number (741460487040).

Almost surely, 2^{102221220021102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221220021102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142360413511680).

102221220021102 is an abundant number, since it is smaller than the sum of its proper divisors (182499607002258).

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

102221220021102 is a wasteful number, since it uses less digits than its factorization.

102221220021102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92008 (or 92005 counting only the distinct ones).

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

Adding to 102221220021102 its reverse (201120022122201), we get a palindrome (303341242143303).

The spelling of 102221220021102 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twenty million, twenty-one thousand, one hundred two".