102002120020020 has 864 divisors, whose sum is σ = 337488225250176. Its totient is φ = 22823224934400.

The previous prime is 102002120020019. The next prime is 102002120020057. The reversal of 102002120020020 is 20020021200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102002120019978 and 102002120020005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 273464128554 + ... + 273464128926.

Almost surely, 2^{102002120020020} is an apocalyptic number.

102002120020020 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 102002120020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168744112625088).

102002120020020 is an abundant number, since it is smaller than the sum of its proper divisors (235486105230156).

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

102002120020020 is a wasteful number, since it uses less digits than its factorization.

102002120020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102002120020020 its reverse (20020021200201), we get a palindrome (122022141220221).

The spelling of 102002120020020 in words is "one hundred two trillion, two billion, one hundred twenty million, twenty thousand, twenty".