102002020020 has 72 divisors (see below), whose sum is σ = 309813121800. Its totient is φ = 27164759040.

The previous prime is 102002019961. The next prime is 102002020031. The reversal of 102002020020 is 20020200201.

It can be written as a sum of positive squares in 4 ways, for example, as 5114252196 + 96887767824 = 71514^2 + 311268^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102002019984 and 102002020011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235345 + ... + 509304.

It is an arithmetic number, because the mean of its divisors is an integer number (4302960025).

Almost surely, 2^102002020020 is an apocalyptic number.

102002020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002020020 is an abundant number, since it is smaller than the sum of its proper divisors (207811101780).

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

102002020020 is a wasteful number, since it uses less digits than its factorization.

102002020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745425 (or 745420 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 102002020020 its reverse (20020200201), we get a palindrome (122022220221).

The spelling of 102002020020 in words is "one hundred two billion, two million, twenty thousand, twenty".