102221102201220 has 144 divisors (see below), whose sum is σ = 316548196473600. Its totient is φ = 26694661728000.

The previous prime is 102221102201189. The next prime is 102221102201287. The reversal of 102221102201220 is 22102201122201.

It is a happy number.

102221102201220 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 1 + 0 + 220 + 1 + 220 = 666.

It is a super-3 number, since 3×102221102201220³ (a number of 43 digits) contains 333 as substring.

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 = 102221102201193 and 102221102201202.

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 47 ways as a sum of consecutive naturals, for example, 24936456 + ... + 28744895.

It is an arithmetic number, because the mean of its divisors is an integer number (2198251364400).

Almost surely, 2^{102221102201220} is an apocalyptic number.

102221102201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221102201220 is an abundant number, since it is smaller than the sum of its proper divisors (214327094272380).

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

102221102201220 is a wasteful number, since it uses less digits than its factorization.

102221102201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53681586 (or 53681581 counting only the distinct ones).

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

Adding to 102221102201220 its reverse (22102201122201), we get a palindrome (124323303323421).

The spelling of 102221102201220 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred two million, two hundred one thousand, two hundred twenty".