102102012222120 has 96 divisors (see below), whose sum is σ = 331847512139520. Its totient is φ = 27225892702080.

The previous prime is 102102012222073. The next prime is 102102012222121. The reversal of 102102012222120 is 21222210201201.

It is a happy number.

102102012222120 is a `hidden beast` number, since 1 + 0 + 210 + 20 + 1 + 222 + 212 + 0 = 666.

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 = 102102012222093 and 102102012222102.

It is not an unprimeable number, because it can be changed into a prime (102102012222121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675105 + ... + 14305935.

It is an arithmetic number, because the mean of its divisors is an integer number (3456744918120).

Almost surely, 2^{102102012222120} is an apocalyptic number.

102102012222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102012222120 is an abundant number, since it is smaller than the sum of its proper divisors (229745499917400).

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

102102012222120 is a wasteful number, since it uses less digits than its factorization.

102102012222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13651655 (or 13651648 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102102012222120 its reverse (21222210201201), we get a palindrome (123324222423321).

The spelling of 102102012222120 in words is "one hundred two trillion, one hundred two billion, twelve million, two hundred twenty-two thousand, one hundred twenty".