102210221020 has 96 divisors (see below), whose sum is σ = 227736774720. Its totient is φ = 38464419840.

The previous prime is 102210220951. The next prime is 102210221021. The reversal of 102210221020 is 20122012201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210221021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24087019 + ... + 24091261.

It is an arithmetic number, because the mean of its divisors is an integer number (2372258070).

Almost surely, 2^102210221020 is an apocalyptic number.

102210221020 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 102210221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113868387360).

102210221020 is an abundant number, since it is smaller than the sum of its proper divisors (125526553700).

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

102210221020 is a wasteful number, since it uses less digits than its factorization.

102210221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5335 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102210221020 its reverse (20122012201), we get a palindrome (122332233221).

The spelling of 102210221020 in words is "one hundred two billion, two hundred ten million, two hundred twenty-one thousand, twenty".