102221020 has 48 divisors (see below), whose sum is σ = 235317600. Its totient is φ = 36990720.

The previous prime is 102220997. The next prime is 102221071. The reversal of 102221020 is 20122201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102220988 and 102221006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49366 + ... + 51394.

It is an arithmetic number, because the mean of its divisors is an integer number (4902450).

Almost surely, 2^102221020 is an apocalyptic number.

102221020 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 102221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117658800).

102221020 is an abundant number, since it is smaller than the sum of its proper divisors (133096580).

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

102221020 is a wasteful number, since it uses less digits than its factorization.

102221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 102221020 is about 10110.4411377546. The cubic root of 102221020 is about 467.5701058753.

Adding to 102221020 its reverse (20122201), we get a palindrome (122343221).

It can be divided in two parts, 102 and 221020, that added together give a palindrome (221122).

The spelling of 102221020 in words is "one hundred two million, two hundred twenty-one thousand, twenty".