102002120020 has 12 divisors (see below), whose sum is σ = 214204452084. Its totient is φ = 40800848000.

The previous prime is 102002119979. The next prime is 102002120041. The reversal of 102002120020 is 20021200201.

It can be written as a sum of positive squares in 2 ways, for example, as 49540966084 + 52461153936 = 222578^2 + 229044^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102002119979 and 102002120006.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2550052981 + ... + 2550053020.

It is an arithmetic number, because the mean of its divisors is an integer number (17850371007).

Almost surely, 2^102002120020 is an apocalyptic number.

102002120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002120020 is an abundant number, since it is smaller than the sum of its proper divisors (112202332064).

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

102002120020 is a wasteful number, since it uses less digits than its factorization.

102002120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100106010 (or 5100106008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102002120020 its reverse (20021200201), we get a palindrome (122023320221).

The spelling of 102002120020 in words is "one hundred two billion, two million, one hundred twenty thousand, twenty".