102221010202000 has 160 divisors (see below), whose sum is σ = 258373320192000. Its totient is φ = 39068542656000.

The previous prime is 102221010201929. The next prime is 102221010202009. The reversal of 102221010202000 is 202010122201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102221010202009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5536975 + ... + 15332974.

It is an arithmetic number, because the mean of its divisors is an integer number (1614833251200).

Almost surely, 2^{102221010202000} is an apocalyptic number.

102221010202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221010202000 is an abundant number, since it is smaller than the sum of its proper divisors (156152309990000).

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

102221010202000 is a wasteful number, since it uses less digits than its factorization.

102221010202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20870082 (or 20870066 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102221010202000 its reverse (202010122201), we get a palindrome (102423020324201).

The spelling of 102221010202000 in words is "one hundred two trillion, two hundred twenty-one billion, ten million, two hundred two thousand".