102021100210220 has 96 divisors (see below), whose sum is σ = 223905572811648. Its totient is φ = 38973725407232.

The previous prime is 102021100210193. The next prime is 102021100210273. The reversal of 102021100210220 is 22012001120201.

It is a junction number, because it is equal to n+sod(n) for n = 102021100210195 and 102021100210204.

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 31 ways as a sum of consecutive naturals, for example, 1304028224 + ... + 1304106456.

It is an arithmetic number, because the mean of its divisors is an integer number (2332349716788).

Almost surely, 2^{102021100210220} is an apocalyptic number.

102021100210220 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 102021100210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111952786405824).

102021100210220 is an abundant number, since it is smaller than the sum of its proper divisors (121884472601428).

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

102021100210220 is a wasteful number, since it uses less digits than its factorization.

102021100210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82619 (or 82617 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102021100210220 its reverse (22012001120201), we get a palindrome (124033101330421).

The spelling of 102021100210220 in words is "one hundred two trillion, twenty-one billion, one hundred million, two hundred ten thousand, two hundred twenty".