102002010222020 has 24 divisors (see below), whose sum is σ = 214204433154264. Its totient is φ = 40800763767296.

The previous prime is 102002010222011. The next prime is 102002010222041. The reversal of 102002010222020 is 20222010200201.

It can be written as a sum of positive squares in 4 ways, for example, as 34677753443524 + 67324256778496 = 5888782^2 + 8205136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102002010221986 and 102002010222004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26215022 + ... + 29853498.

It is an arithmetic number, because the mean of its divisors is an integer number (8925184714761).

Almost surely, 2^{102002010222020} is an apocalyptic number.

102002010222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002010222020 is an abundant number, since it is smaller than the sum of its proper divisors (112202422932244).

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

102002010222020 is a wasteful number, since it uses less digits than its factorization.

102002010222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040199 (or 5040197 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102002010222020 its reverse (20222010200201), we get a palindrome (122224020422221).

The spelling of 102002010222020 in words is "one hundred two trillion, two billion, ten million, two hundred twenty-two thousand, twenty".