102221202000 has 160 divisors (see below), whose sum is σ = 331469498880. Its totient is φ = 27101145600.

The previous prime is 102221201947. The next prime is 102221202019. The reversal of 102221202000 is 202122201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988761 + ... + 1087239.

It is an arithmetic number, because the mean of its divisors is an integer number (2071684368).

Almost surely, 2^102221202000 is an apocalyptic number.

102221202000 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 102221202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165734749440).

102221202000 is an abundant number, since it is smaller than the sum of its proper divisors (229248296880).

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

102221202000 is a wasteful number, since it uses less digits than its factorization.

102221202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98678 (or 98662 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102221202000 its reverse (202122201), we get a palindrome (102423324201).

The spelling of 102221202000 in words is "one hundred two billion, two hundred twenty-one million, two hundred two thousand".