102221221012120 has 64 divisors (see below), whose sum is σ = 265807990497600. Its totient is φ = 34653486151680.

The previous prime is 102221221012061. The next prime is 102221221012129. The reversal of 102221221012120 is 21210122122201.

It is a super-3 number, since 3×102221221012120³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221221012129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2050962661 + ... + 2051012500.

It is an arithmetic number, because the mean of its divisors is an integer number (4153249851525).

Almost surely, 2^{102221221012120} is an apocalyptic number.

102221221012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221221012120 is an abundant number, since it is smaller than the sum of its proper divisors (163586769485480).

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

102221221012120 is a wasteful number, since it uses less digits than its factorization.

102221221012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101975268 (or 4101975264 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102221221012120 its reverse (21210122122201), we get a palindrome (123431343134321).

The spelling of 102221221012120 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twenty-one million, twelve thousand, one hundred twenty".