102001011102020 has 12 divisors (see below), whose sum is σ = 214202123314284. Its totient is φ = 40800404440800.

The previous prime is 102001011101989. The next prime is 102001011102073. The reversal of 102001011102020 is 20201110100201.

It can be written as a sum of positive squares in 2 ways, for example, as 11627240695876 + 90373770406144 = 3409874^2 + 9506512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102001011101992 and 102001011102010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2550025277531 + ... + 2550025277570.

It is an arithmetic number, because the mean of its divisors is an integer number (17850176942857).

Almost surely, 2^{102001011102020} is an apocalyptic number.

102001011102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001011102020 is an abundant number, since it is smaller than the sum of its proper divisors (112201112212264).

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

102001011102020 is a wasteful number, since it uses less digits than its factorization.

102001011102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100050555110 (or 5100050555108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102001011102020 its reverse (20201110100201), we get a palindrome (122202121202221).

The spelling of 102001011102020 in words is "one hundred two trillion, one billion, eleven million, one hundred two thousand, twenty".