1020102102120 has 64 divisors (see below), whose sum is σ = 3060460117440. Its totient is φ = 272013555200.

The previous prime is 1020102102077. The next prime is 1020102102161. The reversal of 1020102102120 is 212012010201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020102102096 and 1020102102105.

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 15 ways as a sum of consecutive naturals, for example, 2307355 + ... + 2713685.

It is an arithmetic number, because the mean of its divisors is an integer number (47819689335).

Almost surely, 2^{1020102102120} is an apocalyptic number.

1020102102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020102102120 is an abundant number, since it is smaller than the sum of its proper divisors (2040358015320).

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

1020102102120 is a wasteful number, since it uses less digits than its factorization.

1020102102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427266 (or 427262 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020102102120 its reverse (212012010201), we get a palindrome (1232114112321).

The spelling of 1020102102120 in words is "one trillion, twenty billion, one hundred two million, one hundred two thousand, one hundred twenty".