102221211010200 has 48 divisors (see below), whose sum is σ = 316885754133480. Its totient is φ = 27258989602560.

The previous prime is 102221211010151. The next prime is 102221211010267. The reversal of 102221211010200 is 2010112122201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102221211010200.

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 11 ways as a sum of consecutive naturals, for example, 85184341909 + ... + 85184343108.

Almost surely, 2^{102221211010200} is an apocalyptic number.

102221211010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221211010200 is an abundant number, since it is smaller than the sum of its proper divisors (214664543123280).

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

102221211010200 is a wasteful number, since it uses less digits than its factorization.

102221211010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170368685036 (or 170368685027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102221211010200 its reverse (2010112122201), we get a palindrome (104231323132401).

The spelling of 102221211010200 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred eleven million, ten thousand, two hundred".