102002031120020 has 12 divisors (see below), whose sum is σ = 214204265352084. Its totient is φ = 40800812448000.

The previous prime is 102002031120007. The next prime is 102002031120023. The reversal of 102002031120020 is 20021130200201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29884196622736 + 72117834497284 = 5466644^2 + 8492222^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102002031119977 and 102002031120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002031120023) by changing a digit.

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, 2550050777981 + ... + 2550050778020.

It is an arithmetic number, because the mean of its divisors is an integer number (17850355446007).

Almost surely, 2^{102002031120020} is an apocalyptic number.

102002031120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002031120020 is an abundant number, since it is smaller than the sum of its proper divisors (112202234232064).

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

102002031120020 is a wasteful number, since it uses less digits than its factorization.

102002031120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100101556010 (or 5100101556008 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102002031120020 its reverse (20021130200201), we get a palindrome (122023161320221).

The spelling of 102002031120020 in words is "one hundred two trillion, two billion, thirty-one million, one hundred twenty thousand, twenty".