102010220320020 has 192 divisors, whose sum is σ = 289282904064000. Its totient is φ = 26856910886400.

The previous prime is 102010220320007. The next prime is 102010220320033. The reversal of 102010220320020 is 20023022010201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102010220320007) and next prime (102010220320033).

It is a super-2 number, since 2×102010220320020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3662699095 + ... + 3662726945.

It is an arithmetic number, because the mean of its divisors is an integer number (1506681792000).

Almost surely, 2^{102010220320020} is an apocalyptic number.

102010220320020 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 102010220320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144641452032000).

102010220320020 is an abundant number, since it is smaller than the sum of its proper divisors (187272683743980).

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

102010220320020 is a wasteful number, since it uses less digits than its factorization.

102010220320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30318 (or 30316 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102010220320020 its reverse (20023022010201), we get a palindrome (122033242330221).

The spelling of 102010220320020 in words is "one hundred two trillion, ten billion, two hundred twenty million, three hundred twenty thousand, twenty".