102102122120 has 16 divisors (see below), whose sum is σ = 229729774860. Its totient is φ = 40840848832.

The previous prime is 102102122033. The next prime is 102102122147. The reversal of 102102122120 is 21221201201.

It can be written as a sum of positive squares in 2 ways, for example, as 96513363556 + 5588758564 = 310666^2 + 74758^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102102122095 and 102102122104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1276276487 + ... + 1276276566.

Almost surely, 2^102102122120 is an apocalyptic number.

102102122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102122120 is an abundant number, since it is smaller than the sum of its proper divisors (127627652740).

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

102102122120 is a wasteful number, since it uses less digits than its factorization.

102102122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552553064 (or 2552553060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102102122120 its reverse (21221201201), we get a palindrome (123323323321).

The spelling of 102102122120 in words is "one hundred two billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty".