102000220102020 has 96 divisors (see below), whose sum is σ = 294160011264000. Its totient is φ = 26389091049984.

The previous prime is 102000220101991. The next prime is 102000220102051. The reversal of 102000220102020 is 20201022000201.

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 = 102000220101987 and 102000220102005.

It is an unprimeable number.

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, 65050500 + ... + 66600059.

It is an arithmetic number, because the mean of its divisors is an integer number (3064166784000).

Almost surely, 2^{102000220102020} is an apocalyptic number.

102000220102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000220102020 is an abundant number, since it is smaller than the sum of its proper divisors (192159791161980).

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

102000220102020 is a wasteful number, since it uses less digits than its factorization.

102000220102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131650957 (or 131650955 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102000220102020 its reverse (20201022000201), we get a palindrome (122201242102221).

The spelling of 102000220102020 in words is "one hundred two trillion, two hundred twenty million, one hundred two thousand, twenty".