102102202002020 has 384 divisors, whose sum is σ = 245729276964864. Its totient is φ = 35301335040000.

The previous prime is 102102202001873. The next prime is 102102202002067. The reversal of 102102202002020 is 20200202201201.

It is a super-2 number, since 2×102102202002020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102102202001986 and 102102202002004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38955436310 + ... + 38955438930.

It is an arithmetic number, because the mean of its divisors is an integer number (639919992096).

Almost surely, 2^{102102202002020} is an apocalyptic number.

102102202002020 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 102102202002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122864638482432).

102102202002020 is an abundant number, since it is smaller than the sum of its proper divisors (143627074962844).

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

102102202002020 is a wasteful number, since it uses less digits than its factorization.

102102202002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102102202002020 its reverse (20200202201201), we get a palindrome (122302404203221).

The spelling of 102102202002020 in words is "one hundred two trillion, one hundred two billion, two hundred two million, two thousand, twenty".