102101010020020 has 192 divisors, whose sum is σ = 235981640160000. Its totient is φ = 36799266816000.

The previous prime is 102101010019999. The next prime is 102101010020161. The reversal of 102101010020020 is 20020010101201.

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 = 102101010019979 and 102101010020006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26918271244 + ... + 26918275036.

It is an arithmetic number, because the mean of its divisors is an integer number (1229071042500).

Almost surely, 2^{102101010020020} is an apocalyptic number.

102101010020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101010020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117990820080000).

102101010020020 is an abundant number, since it is smaller than the sum of its proper divisors (133880630139980).

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

102101010020020 is a wasteful number, since it uses less digits than its factorization.

102101010020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102101010020020 its reverse (20020010101201), we get a palindrome (122121020121221).

The spelling of 102101010020020 in words is "one hundred two trillion, one hundred one billion, ten million, twenty thousand, twenty".