102120313122 has 48 divisors (see below), whose sum is σ = 231029143488. Its totient is φ = 32539166880.

The previous prime is 102120313111. The next prime is 102120313123. The reversal of 102120313122 is 221313021201.

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 = 102120313095 and 102120313104.

It is not an unprimeable number, because it can be changed into a prime (102120313123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571888 + ... + 728900.

It is an arithmetic number, because the mean of its divisors is an integer number (4813107156).

Almost surely, 2^102120313122 is an apocalyptic number.

102120313122 is an abundant number, since it is smaller than the sum of its proper divisors (128908830366).

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

102120313122 is a wasteful number, since it uses less digits than its factorization.

102120313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158615 (or 158612 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102120313122 its reverse (221313021201), we get a palindrome (323433334323).

The spelling of 102120313122 in words is "one hundred two billion, one hundred twenty million, three hundred thirteen thousand, one hundred twenty-two".