102102012022120 has 128 divisors (see below), whose sum is σ = 254916201859200. Its totient is φ = 36495934848000.

The previous prime is 102102012022061. The next prime is 102102012022121. The reversal of 102102012022120 is 21220210201201.

It is a happy number.

It is a super-2 number, since 2×102102012022120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102102012022094 and 102102012022103.

It is not an unprimeable number, because it can be changed into a prime (102102012022121) 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 31 ways as a sum of consecutive naturals, for example, 2087319 + ... + 14441638.

It is an arithmetic number, because the mean of its divisors is an integer number (1991532827025).

Almost surely, 2^{102102012022120} is an apocalyptic number.

102102012022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102012022120 is an abundant number, since it is smaller than the sum of its proper divisors (152814189837080).

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

102102012022120 is a wasteful number, since it uses less digits than its factorization.

102102012022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16529219 (or 16529215 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102102012022120 its reverse (21220210201201), we get a palindrome (123322222223321).

The spelling of 102102012022120 in words is "one hundred two trillion, one hundred two billion, twelve million, twenty-two thousand, one hundred twenty".