102221131123120 has 80 divisors (see below), whose sum is σ = 244869308691552. Its totient is φ = 39667216250880.

The previous prime is 102221131123117. The next prime is 102221131123121. The reversal of 102221131123120 is 21321131122201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 102221131123091 and 102221131123100.

It is not an unprimeable number, because it can be changed into a prime (102221131123121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 143116042 + ... + 143828521.

Almost surely, 2^{102221131123120} is an apocalyptic number.

102221131123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221131123120 is an abundant number, since it is smaller than the sum of its proper divisors (142648177568432).

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

102221131123120 is a wasteful number, since it uses less digits than its factorization.

102221131123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286944710 (or 286944704 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 102221131123120 its reverse (21321131122201), we get a palindrome (123542262245321).

The spelling of 102221131123120 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred twenty-three thousand, one hundred twenty".